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Question 37

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Choose the correct answer from the options given below :

(A) Uniformly charged spherical shell ($$r < R$$):

$$q_{\text{enclosed}} = 0 \implies E_{\text{in}} = 0$$

Matches: (III)

(B) Infinite plane sheet:

$$E = \frac{\sigma}{2\varepsilon_0}$$

Matches: (II)

(C) Uniformly charged spherical shell ($$r > R$$):

$$q_{\text{total}} = \sigma (4\pi R^2)$$

$$E_{\text{out}} = \frac{q_{\text{total}}}{4\pi\varepsilon_0 r^2} \implies E_{\text{out}} = \frac{\sigma (4\pi R^2)}{4\pi\varepsilon_0 r^2} = \frac{\sigma R^2}{\varepsilon_0 r^2}$$

Matches: (IV)

(D) Between 2 oppositely charged infinite parallel sheets:

$$E_{\text{net}} = E_+ + E_- \implies E_{\text{net}} = \frac{\sigma}{2\varepsilon_0} + \frac{\sigma}{2\varepsilon_0} = \frac{\sigma}{\varepsilon_0}$$

Matches: (I)

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