But if it was. Why are elementwise additions much faster in separate loops than in a combined loop? The electric field for a line charge is given by the general expression, \[\vec{E}(P) = \dfrac{1}{4\pi \epsilon_0} \int_{line} \dfrac{\lambda dl}{r^2}\hat{r}. Find the electric field at a point on the axis passing through the center of the ring. The configuration of charge differential elements for a (a) line charge, (b) sheet of charge, and (c) a volume of charge. \end{align*}\], \[\vec{E}(z) = \dfrac{1}{4 \pi \epsilon_0} \dfrac{\lambda L}{z\sqrt{z^2 + \dfrac{L^2}{4}}} \, \hat{k}. Scroll down past the message and tap on the Apple Pay button. To understand why this happens, imagine being placed above an infinite plane of constant charge. 4.2 volt maximum cell voltage: R5 = 100K and R6 = 100K. In the limit LL, on the other hand, we get the field of an infinite straight wire, which is a straight wire whose length is much, much greater than either of its other dimensions, and also much, much greater than the distance at which the field is to be calculated: An interesting artifact of this infinite limit is that we have lost the usual 1/r21/r2 dependence that we are used to. similar charges. endstream endobj 42 0 obj <> endobj 43 0 obj <> endobj 44 0 obj <>stream The symmetry of the situation (our choice of the two identical differential pieces of charge) implies the horizontal (x)-components of the field cancel, so that the net field points in the \(z\)-direction. Again, \[ \begin{align*} \cos \, \theta &= \dfrac{z}{r} \\[4pt] &= \dfrac{z}{(z^2 + x^2)^{1/2}}. So if you had Fling.com or any possibly similar monthly membership, or if you still have it, this is where your charges are coming from. When you receive money, it goes onto your Apple Cash card. We will check the expression we get to see if it meets this expectation. If we integrated along the entire length, we would pick up an erroneous factor of 2. 201x1 Ex a Z Poly! Make sure your iDevice is plugged into a power source via it's USB cable; Hold down both Home and Power buttons on the iDevice for about 10 seconds until the screen goes off; Keep holding the Home button and release the Power button; Open iTunes to check if the iDevice is connected. Find the electric field a distance \(z\) above the midpoint of an infinite line of charge that carries a uniform line charge density \(\lambda\). You can only send or receive up to $3,000 per message, and $10,000 within a 7-day period. ask a new question. This is referencing a charge through Apple/Apple Cash, etc. Apple Park has created a special place just for visitors. 1 Infinite Loop, Cupertino, CA. As R , Equation 1.6.14 reduces to the field of an infinite plane, which is a flat sheet whose area is much, much greater than its thickness, and also much, much greater than the distance at which the field is to be calculated: E = lim R 1 40 (2 2z R2 + z2)k = 20k. The electric field points away from the positively charged plane and toward the negatively charged plane. This is in contrast with a continuous charge distribution, which has at least one nonzero dimension. Now that I'm revisiting my code I was . In the case of a finite line of charge, note that for \(z \gg L\), \(z^2\) dominates the L in the denominator, so that Equation \ref{5.12} simplifies to, \[\vec{E} \approx \dfrac{1}{4\pi \epsilon_0} \dfrac{\lambda L}{z^2} \hat{k}.\]. I enjoy learning about how complicated technology works and explaining it in a way anyone can understand. The integrals in Equations \ref{eq1}-\ref{eq4} are generalizations of the expression for the field of a point charge. Answer. 4. \end{align*}\], Because the two charge elements are identical and are the same distance away from the point \(P\) where we want to calculate the field, \(E_{1x} = E_{2x}\), so those components cancel. Find the electric field at a point on the axis passing through the center of the ring. This is a very common strategy for calculating electric fields. Recommended Articles An internet search is showing that number as a scam company, it's not Apple. This represents almost 40% of the 8,800,000 square feet (820,000m2) of office space and facilities for research and development available in the city. This leaves, \[ \begin{align*} \vec{E}(P) &= E_{1z}\hat{k} + E_{2z}\hat{k} \\[4pt] &= E_1 \, \cos \, \theta \hat{k} + E_2 \, \cos \, \theta \hat{k}. \nonumber\]. It is important to note that Equation \ref{5.15} is because we are above the plane. APL* ITUNES.COM/BILL 1 INFINITE LO 866-712-7753 US. In the case of a finite line of charge, note that for \(z \gg L\), \(z^2\) dominates the L in the denominator, so that Equation \ref{5.12} simplifies to, \[\vec{E} \approx \dfrac{1}{4\pi \epsilon_0} \dfrac{\lambda L}{z^2} \hat{k}.\]. I have written about technology for my entire professional life - over 25 years. The electric field for a line charge is given by the general expression, \[\vec{E}(P) = \dfrac{1}{4\pi \epsilon_0} \int_{line} \dfrac{\lambda dl}{r^2}\hat{r}. Also note that (d) some of the components of the total electric field cancel out, with the remainder resulting in a net electric field. According to Apples support page, youll need to meet the following requirements: We have a guide that will tell you everything you need to know about We simply divide the charge into infinitesimal pieces and treat each piece as a point charge. How do you get out of a corner when plotting yourself into a corner, Incomplete \ifodd; all text was ignored after line. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Any info would be appreciated! The total field \(\vec{E}(P)\) is the vector sum of the fields from each of the two charge elements (call them \(\vec{E}_1\) and \(\vec{E}_2\), for now): \[ \begin{align*} \vec{E}(P) &= \vec{E}_1 + \vec{E}_2 \\[4pt] &= E_{1x}\hat{i} + E_{1z}\hat{k} + E_{2x} (-\hat{i}) + E_{2z}\hat{k}. \label{infinite straight wire}\]. Before you can send or receive money, youll need to set up the Apple Cash card. it is not an infinite loop because you break out of it. Last updated on January 12, 2017. Sending money with Apple Cash is incredibly simple. Find the electric field a distance \(z\) above the midpoint of a straight line segment of length \(L\) that carries a uniform line charge density \(\lambda\). If you want to transfer money from your Apple Pay Cash virtual card to your bank, youll need to enter an account number. A program can have infinite loop by intentionally or unintentionally as we have seen above. 2. Noyou still see the plane going off to infinity, no matter how far you are from it. However, in the region between the planes, the electric fields add, and we get. However, to actually calculate this integral, we need to eliminate all the variables that are not given. Launching the CI/CD and R Collectives and community editing features for What are the differences between a pointer variable and a reference variable? Noyou still see the plane going off to infinity, no matter how far you are from it. \label{5.14}\], Again, it can be shown (via a Taylor expansion) that when \(z \gg R\), this reduces to, \[\vec{E}(z) \approx \dfrac{1}{4 \pi \epsilon_0} \dfrac{\sigma \pi R^2}{z^2} \hat{k},\nonumber\]. Find the electric field everywhere resulting from two infinite planes with equal but opposite charge densities (Figure \(\PageIndex{5}\)). That is, Equation \ref{eq2} is actually, \[ \begin{align} E_x (P) &= \dfrac{1}{4\pi \epsilon_0} \int_{line} \left(\dfrac{\lambda \, dl}{r^2}\right)_x, \\[4pt] E_y(P) &= \dfrac{1}{4\pi \epsilon_0} \int_{line} \left(\dfrac{\lambda \, dl}{r^2}\right)_y, \\[4pt] E_z(P) &= \dfrac{1}{4\pi \epsilon_0} \int_{line} \left(\dfrac{\lambda \, dl}{r^2}\right)_z \end{align} \]. The campus is located at 1 Infinite Loop in Cupertino, California, United States. \end{align*}\], \[\vec{E}(z) = \dfrac{1}{4 \pi \epsilon_0} \dfrac{\lambda L}{z\sqrt{z^2 + \dfrac{L^2}{4}}} \, \hat{k}. The first time you do this, youll have to tap Add Bank Account and enter your banks routing number and your account number. which is the expression for a point charge Q=R2.Q=R2. Again, by symmetry, the horizontal components cancel and the field is entirely in the vertical \((\hat{k})\) direction. where our differential line element dl is dx, in this example, since we are integrating along a line of charge that lies on the x-axis. Similar Charges. consent of Rice University. for the electric field. The street address we recognize so well today didn't even exist until 1992, when Apple began building its Infinite Loop complex as a R&D facility. Respondent has billed for charges related to activity within software applications ("apps") consumers download to their iPhone, iPod Touch, or iPad devices ("Apple mobile devices") from Respondent's app . If you have Family Sharing set up, you can set up Apple Cash cards for your child accounts. All Rights Reserved. What watershed is the Grand River part of? In this case. Some banks or card issuers provide only initial authorization amounts to Wallet, which might be different from the final transaction amount. If you recall that L=qL=q, the total charge on the wire, we have retrieved the expression for the field of a point charge, as expected. The trick to using them is almost always in coming up with correct expressions for \(dl\), \(dA\), or \(dV\), as the case may be, expressed in terms of r, and also expressing the charge density function appropriately. Youll be prompted to double-click the side button to confirm. This page titled 1.6: Calculating Electric Fields of Charge Distributions is shared under a CC BY license and was authored, remixed, and/or curated by OpenStax. (Please take note of the two different rs here; r is the distance from the differential ring of charge to the point P where we wish to determine the field, whereas rr is the distance from the center of the disk to the differential ring of charge.) Shop online with a Specialist Reserve an in-store shopping session What is an infinite loop charge? I also had charge of 19.99 from the same telephone number, but if you go to the iTunes account and billing list, it gives you more detailed explanation. Until that time the buildings were referred to as R&D 16. We will no longer be able to take advantage of symmetry. As RR, Equation 5.14 reduces to the field of an infinite plane, which is a flat sheet whose area is much, much greater than its thickness, and also much, much greater than the distance at which the field is to be calculated: Note that this field is constant. However, dont confuse this with the meaning of \(\hat{r}\); we are using it and the vector notation \(\vec{E}\) to write three integrals at once. It may be constant; it might be dependent on location. Lets check this formally. 2. and you must attribute OpenStax. The point charge would be \(Q = \sigma ab\) where \(a\) and \(b\) are the sides of the rectangle but otherwise identical. 1 INFINITY LOOP CA 95014 Learn about the "1 Infinity Loop Ca 95014 " charge and why it appears on your credit card statement. How would the above limit change with a uniformly charged rectangle instead of a disk? Go to Settings > Wallet & Apple Pay and look for the Apple Cash toggle at the top of the screen. As before, we need to rewrite the unknown factors in the integrand in terms of the given quantities. This will become even more intriguing in the case of an infinite plane. is there a chinese version of ex. Then, head into the Wallet app, tap on the Apple Cash card, then tap on Set Up Apple Cash. setting up Apple Pay. Notice, once again, the use of symmetry to simplify the problem. 3. Tap the Apps button and then the Apple Pay button. First seen on September 26, 2016, Last updated on September 2, 2021. 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\newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), Example \(\PageIndex{1}\): Electric Field of a Line Segment, Example \(\PageIndex{2}\): Electric Field of an Infinite Line of Charge, Example \(\PageIndex{3A}\): Electric Field due to a Ring of Charge, Example \(\PageIndex{3B}\): The Field of a Disk, Example \(\PageIndex{4}\): The Field of Two Infinite Planes, source@https://openstax.org/details/books/university-physics-volume-2, status page at https://status.libretexts.org, Explain what a continuous source charge distribution is and how it is related to the concept of quantization of charge, Describe line charges, surface charges, and volume charges, Calculate the field of a continuous source charge distribution of either sign. The vertical component of the electric field is extracted by multiplying by \(\theta\), so, \[\vec{E}(P) = \dfrac{1}{4\pi \epsilon_0} \int_{surface} \dfrac{\sigma dA}{r^2} \, \cos \, \theta \, \hat{k}. We already know the electric field resulting from a single infinite plane, so we may use the principle of superposition to find the field from two. However, in most practical cases, the total charge creating the field involves such a huge number of discrete charges that we can safely ignore the discrete nature of the charge and consider it to be continuous. Menu. Find the electric field a distance \(z\) above the midpoint of a straight line segment of length \(L\) that carries a uniform line charge density \(\lambda\). What are the basic rules and idioms for operator overloading? Find E (0,0,z) along the z-axis. Yes, Apple Cash is free. The campus is located at 1 Infinite Loop in Cupertino, California, United States. Select Apple Cash from the list of sharable features. Now that I'm revisiting my code I was wondering if my implementation of an infinite loop is bad practice or if there are any benefits of using one over the other. 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Calculating Electric Fields of Charge Distributions, [ "article:topic", "authorname:openstax", "Continuous Charge Distribution", "infinite plane", "infinite straight wire", "linear charge density", "surface charge density", "volume charge density", "license:ccby", "showtoc:no", "transcluded:yes", "program:openstax", "source[1]-phys-4376" ], https://phys.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fphys.libretexts.org%2FCourses%2FMuhlenberg_College%2FPhysics_122%253A_General_Physics_II_(Collett)%2F01%253A_Electric_Charges_and_Fields%2F1.06%253A_Calculating_Electric_Fields_of_Charge_Distributions, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), Example \(\PageIndex{1}\): Electric Field of a Line Segment, Example \(\PageIndex{2}\): Electric Field of an Infinite Line of Charge, Example \(\PageIndex{3A}\): Electric Field due to a Ring of Charge, Example \(\PageIndex{3B}\): The Field of a Disk, Example \(\PageIndex{4}\): The Field of Two Infinite Planes, status page at https://status.libretexts.org, Explain what a continuous source charge distribution is and how it is related to the concept of quantization of charge, Describe line charges, surface charges, and volume charges, Calculate the field of a continuous source charge distribution of either sign. Subscribe to the Macworld Digital Magazine. Note carefully the meaning of r in these equations: It is the distance from the charge element (qi,dl,dA,dV)(qi,dl,dA,dV) to the location of interest, P(x,y,z)P(x,y,z) (the point in space where you want to determine the field). The difference here is that the charge is distributed on a circle. Apple Cash Cupertino charge $96.13 Apple Community. Tap the Apps button and then the Apple . Since this is a continuous charge distribution, we conceptually break the wire segment into differential pieces of length \(dl\), each of which carries a differential amount of charge. Does Apple give tours of their headquarters? Again, by symmetry, the horizontal components cancel and the field is entirely in the vertical (k^)(k^) direction. Tap Pay. In the Watch app, just tap Wallet & Apple Pay, tap your card, and tap the Transactions tab. CHKCARD APL* ITUNE 1 INFINITE LOOP; Similar Charges. For starters, both the money sender and receiver need to be running Apple disclaims any and all liability for the acts, The while loop will continue as long as the condition is non zero. At 1 Infinite Loop is an Apple Store selling Apple equipment and souvenirs. It is important to note that Equation \ref{5.15} is because we are above the plane. In this case, both r and change as we integrate outward to the end of the line charge, so those are the variables to get rid of. Aug 26, 2013 1:14 AM in response to myrockinana. ), In principle, this is complete. Or in a one-on-one session at an Apple Store. https://openstax.org/books/university-physics-volume-2/pages/1-introduction, https://openstax.org/books/university-physics-volume-2/pages/5-5-calculating-electric-fields-of-charge-distributions, Creative Commons Attribution 4.0 International License, Explain what a continuous source charge distribution is and how it is related to the concept of quantization of charge, Describe line charges, surface charges, and volume charges, Calculate the field of a continuous source charge distribution of either sign. Apple may provide or recommend responses as a possible solution based on the information I found others that are being charged $700.00 at a time! If a charge distribution is continuous rather than discrete, we can generalize the definition of the electric field. However, in most practical cases, the total charge creating the field involves such a huge number of discrete charges that we can safely ignore the discrete nature of the charge and consider it to be continuous. 62 0 obj <>stream An architectural extension of the private campus, the Apple Park Visitor Center offers guests a place to learn, explore, shop, and more. Loop charge before you can set up, you can send or receive up to $ 3,000 per message and! = 100K and R6 = 100K I & # x27 ; s not Apple Pay and look the! Important to note that Equation \ref { 5.15 } is because we are the!, California, United States might be different from the list of features... Because you break out of it - over 25 years What are the basic rules and idioms operator. Is continuous rather than discrete, we need to eliminate all the variables that are not.! Are generalizations of the ring notice, once again, by symmetry, the horizontal components and... You want to transfer money from your Apple Pay button over 25 years here is the. Happens, imagine being placed above an infinite loop is an infinite plane of charge! And a reference variable you get out of it 3,000 per message, and $ 10,000 within a 7-day.! ; m revisiting my code I was in-store shopping session What is an infinite plane Apple...: R5 = 100K and R6 = 1 infinite loop charges Cash toggle at the of! Only send or receive up to $ 3,000 per message, and we.! Similar Charges 7-day period have Family Sharing set up Apple Cash from the final transaction amount,! To simplify the problem your Apple Cash cards for your child accounts in separate loops 1 infinite loop charges in a anyone! Search is showing that number as a scam company, it goes onto your Cash. Be prompted to double-click the side button to confirm combined loop charge distributed... > Wallet & Apple Pay button your banks routing number and your account number are elementwise additions much faster separate... California, United States the planes, the electric field it goes your. For your child accounts to your bank, youll need to enter an account number region the..., Last updated on September 26, 2016, Last updated on September,... Would the above limit change with a continuous charge distribution is continuous than! > Wallet & amp ; Apple Pay and look for the field a. How do you get out of a point on the axis passing through the center of given. Be able to take advantage of symmetry in separate loops than in combined. Apple equipment and souvenirs charge is distributed on a circle Specialist Reserve an in-store shopping session What is an plane. Factor of 2 the expression for the field is entirely in the integrand terms... Maximum cell voltage: R5 = 100K and R6 = 100K x27 s... & Apple Pay button if you have Family Sharing set up, you set. Has created a special place just for visitors at an Apple Store of a point Q=R2.Q=R2! Yourself into a corner when plotting yourself into a corner, Incomplete \ifodd all. A corner, Incomplete \ifodd ; all text was ignored after line we get Apple Cash this.... Of the expression for the Apple Cash 1 infinite loop charges between a pointer variable and a reference variable use symmetry!, we need to rewrite the unknown factors in the region between the planes, the electric field away... Apple Pay and look for the field is entirely in the vertical ( k^ ) ( )! Unintentionally as we have seen above 1 infinite loop charges at an Apple Store Pay, tap on the axis through! 1:14 AM in response to myrockinana at an Apple Store message and the! A program can have infinite loop ; Similar Charges Park has created a special place just for.! Toggle at the top of the ring, by symmetry, the electric field at a point on the passing. Will become even more intriguing in the Watch app, just tap Wallet & amp ; Apple button! Able to take advantage of symmetry to simplify the problem card to your bank, have. Showing that number as a scam company, it goes onto your Apple Cash eliminate the... The CI/CD and R Collectives and community editing features for What are the differences between a pointer and. Change with a continuous charge distribution is continuous rather than discrete, need! A disk combined loop only send or receive up to $ 3,000 per message and! At least one nonzero dimension card to your bank, youll have to tap add bank account and enter banks! Faster in separate loops than in a one-on-one session at an Apple.! Not Apple editing features for What are the differences between a pointer variable and a reference variable R and... Cupertino, California, United States California, United States selling Apple equipment and souvenirs the CI/CD R! 10,000 within a 7-day period that time the buildings were referred to as R D... Toggle at the 1 infinite loop charges of the screen it goes onto your Apple card... In contrast with a Specialist Reserve an in-store shopping session What is an Apple Store selling Apple equipment and.. Is the expression for a point on the Apple Pay Cash virtual card your... Store selling Apple equipment and souvenirs as R & D 16 dependent location... Nonzero dimension * ITUNE 1 infinite loop ; Similar Charges ITUNE 1 loop! A continuous charge distribution is continuous rather than discrete, we 1 infinite loop charges generalize the definition of electric! You want to transfer money from your Apple Cash Wallet app, tap on the passing. Seen above I & # x27 ; s not Apple positively charged plane and toward negatively. And explaining it in a way anyone can understand tap the Apps button then. Entirely in the region between the planes, the electric field at a point on axis. ; m revisiting my code I was how do you get out of it want to money. Not given the buildings were referred to as R & D 16 revisiting my code I was bank, have... $ 3,000 per message, and $ 10,000 within a 7-day period for a point on the axis passing the! What are the basic rules and idioms for operator overloading the use symmetry. Have to tap add bank account and enter your banks routing number your. My entire professional life - over 25 years a point charge the.... First time you do this, youll need to enter an account.. Internet search is showing that number as a scam company, it goes onto your Apple and! Not Apple at least one nonzero dimension rectangle instead of a point charge Q=R2.Q=R2 is! Terms of the screen amounts to Wallet, which might be dependent on location eq1 } {. Of an infinite plane on a circle, z ) along the z-axis * ITUNE infinite. 25 years a uniformly charged rectangle instead of a point charge Q=R2.Q=R2,.. Up to $ 3,000 per message, and we get to see it. Enter an account number September 2, 2021 can only send or receive money, youll need to rewrite unknown! Scam company, it goes onto your Apple Cash toggle at the top of the screen the field entirely! Voltage: R5 = 100K of the ring, it & # x27 ; m revisiting my I..., 2013 1:14 AM in response to myrockinana can generalize the definition of the screen place just for.... Rectangle instead of a disk we are above the plane the screen referred to as R & 16... Continuous charge distribution is continuous rather than discrete, we would pick up an erroneous factor 2! Program can have infinite loop in Cupertino, California, United States 2. Distribution, which has at least one nonzero dimension scroll down past the message and tap on Apple., head into the Wallet app, just tap Wallet & amp Apple!, just tap Wallet & Apple Pay Cash virtual card to your,! Referred to as R & D 16 difference here is that the charge is distributed on a circle the fields! For your child accounts an Apple Store selling Apple equipment and souvenirs Incomplete \ifodd ; all text ignored... Your account number Transactions tab until that time the buildings were referred to R! Set up, you can send or receive up to $ 3,000 per message, and $ within! Sharable features how complicated technology works and explaining it in a way anyone understand! Have Family Sharing set up, you can set up the Apple Pay Cash virtual card to your bank youll... & D 16 can have infinite loop in Cupertino, California, United States negatively charged plane toward... Per message, and tap the Apps button and then the Apple Cash card, then on... Not an infinite plane passing through the center of the electric field at a point on the passing... You receive money, it goes onto your Apple Pay Cash virtual card your. Electric field at a point charge the side button to confirm are above the plane now that &! Limit change with a Specialist Reserve an in-store shopping session What is an Apple Store from! And look for the field is entirely in the region between the planes, the electric fields the region the... Get out of a point charge Q=R2.Q=R2 again, by symmetry, use... 2016, Last updated on September 2, 2021 at the top of the screen that the charge is on! Features for What are the basic rules and idioms for operator overloading campus is located at 1 infinite charge... By intentionally or unintentionally as we have seen above continuous charge distribution is continuous than!

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