NEET Physics Question - Capacitors - Spherical Capacitors

Assertion (A): In a system of two concentric shell of inner radius \(a\) and outer radius \(b\). If outer is grounded and inner shell is given charge has less capacitance than inner has grounded and outer is given charge.

Reason (R): Electric field is zero outside outer shell when inner shell is grounded.

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

A: True. For inner charged, outer grounded, \(C_1 = 4\pi\epsilon_0 \frac{ab}{b-a}\). For inner grounded, outer charged, \(C_2 = 4\pi\epsilon_0 \frac{b^2}{b-a}\). Since \(b>a\), \(C_1 < C_2\).\nR: False. If the outer shell is given charge, there will be a net charge creating an external electric field.\nTherefore, (A) is true and (R) is false.

Rankers Physics

Capacitance of Concentric Shells

Solution:

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