(a) A conductor having cavity C is charged as shown in Fig. What is electricfied inside the cavity ? Does the result depend upon the shape and size of the cavity ?
(b) Can Gauss's law tell us exactly where teh charge is located inside the Gaussian surface ?
(a) A conductor having cavity C is charged as shown in Fig. What is electricfied inside the cavity ? Does the result depend upon the shape and size of the cavity ?
(b) Can Gauss's law tell us exactly where teh charge is located inside the Gaussian surface ?
(b) Can Gauss's law tell us exactly where teh charge is located inside the Gaussian surface ?
Text Solution
Verified by Experts
(a) It is known that electric charges reside always on the surface fo conductors only. Inside the conductors , charge is zero. The result is independent of the shape and size of the cavity will always be zero irrespective fo the size of the cavity.
(b) Gauss's law cannot determine the position of charge. This is because, acccording to Gauss's Law, electric flux over a Gaussian surface in vacumm is `1//in_(0)` times the charge enclosed inside the surface . Thus Gauss's law explains that the charge is inside the closed surface , and for every position of the charge inside teh surface, the electric flux is the same. Hence Gauss's Law. fails to specify the position of charge inside the closed surface.
(b) Gauss's law cannot determine the position of charge. This is because, acccording to Gauss's Law, electric flux over a Gaussian surface in vacumm is `1//in_(0)` times the charge enclosed inside the surface . Thus Gauss's law explains that the charge is inside the closed surface , and for every position of the charge inside teh surface, the electric flux is the same. Hence Gauss's Law. fails to specify the position of charge inside the closed surface.
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Knowledge Check
A conductor with a cavity is charged positively and its surface charge density is sigma . If E and V represent the electric field and potential, then inside the cavity
A conductor with a cavity is charged positively and its surface charge density is sigma . If E and V represent the electric field and potential, then inside the cavity
A
E = 0 and V = 0
B
E = 0 and `sigma`- constant
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V = 0 and `sigma` = constant
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We have a fixed conductor having a cavity inside. There is a point charge q_(1) kept inside the cavity charge appearing at the inner surface of the cavity is q_(2) . Charge appearing at outer surface of conductor is q_(3) and there lies another point charge q_(4) out side the conductor. Whole situation is shown in figure. q_(4) . is held stationary by applying an external force vecF_(0) on it. Three points A, B and C are shown. Answer the following two questions. Q. If keeping the magnitude and nature of q_(1) fixed position of q_(1) is changed inside the cavity. Then choose the correct option(s)
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External force required to keep `q_(4)` stationary remains unchanged
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We have a fixed conductor having a cavity inside. There is a point charge q_(1) kept inside the cavity charge appearing at the inner surface of the cavity is q_(2) . Charge appearing at outer surface of conductor is q_(3) and there lies another point charge q_(4) out side the conductor. Whole situation is shown in figure. q_(4) . is held stationary by applying an external force vecF_(0) on it. Three points A, B and C are shown. Answer the following two questions. Q. If keeping the nature and position of q_(1) fixed, magnitude of q_(1) is changed, then choose the INCORRECT options(s)
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