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 3 years ago
A charge of +3q is placed at the center of an unchanged conducting shell. What will be the charges on the inner and outer surfaces of the shell, respectively?
A. 3q, +3q
B. 3q, +6q
C. 3q, 3q
D. q, +q
 3 years ago
A charge of +3q is placed at the center of an unchanged conducting shell. What will be the charges on the inner and outer surfaces of the shell, respectively? A. 3q, +3q B. 3q, +6q C. 3q, 3q D. q, +q

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hosein
 3 years ago
Best ResponseYou've already chosen the best response.2from conservation charge principle

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0More intuitively perhaps, a charge brought near a conductor induces in the conductor a charge of opposite sign closest to the charge. So the inside of the sphere should have an induced charge which is negative, because +3q is positive. Now, the exterior must be the opposite of whatever is in the interior. Hence its sign is +.

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Therefore option A or D is correct. Now the only question is whether you think that induced charge will have the same magnitude or not?

hosein
 3 years ago
Best ResponseYou've already chosen the best response.2same hence shell is uncharged

prakharJ
 3 years ago
Best ResponseYou've already chosen the best response.0just use the gauss theorem here. Take a closed spherical Gaussian surface with lie within the thickness of conducting shell. Since the electric field inside the conductor is zero here, so according to gauss law which is \[closed \int\limits E.dS = q(enclosed)/\epsilon\] . Since E is zero q enclosed must also be zero, so to do that charges(3q here) from conducting shell comes to the inner side to make the net charge inside that gaussian surface zero.. And also due to conservation of charge , on the outer side +3q develops.
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