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A point charge q_1 is concentric with two spherical conducting thick shells, as

ID: 3161617 • Letter: A

Question

A point charge q_1 is concentric with two spherical conducting thick shells, as shown in the figure below. The smaller spherical conducting shell has a net charge of q_2 and the larger spherical conducting shell has a net charge of q_3. Under static conditions, the charge on a conductor resides on the surface of the conductor. What is the charge Q_rs on the inner surface of the larger spermicidal conducing shell? Q_r3 = q_1 + q_2 Q_r3 = + q_1 Q_r3 = -q_1 - q_2 - q_3 Q_r3 = -q_1 - q_2 -q_3 Q_r3 = + q_1 +q_2 + q_3 Q_r3 = q_1 - q_2 + q_3 Q_r3 = + q_1 - q_2 Q_r3 = + q_1 + q_2 Q_r3 = -q_1 Q_r3 = -q_1 - q_2 Q_r3 = 0

Explanation / Answer

for point R4:

it is inside the conductor, hence field strength will be zero.


Using Gauss law,

E.A = Qin/e0

E = 0 => Qin = 0


Qin = (q1 + q2) + qR3 = 0

qR3 = -q1 - q2

Ans (9 )

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