A) \[2\pi {{R}^{2}}E\]
B) \[\frac{{{R}^{2}}}{E}\]
C) \[\frac{\pi {{R}^{2}}}{E}\]
D) zero
Correct Answer: D
Solution :
(d) zero Flux through surface A, \[{{\phi }_{A}}=E\times \pi {{R}^{2}}\] Flux through surface B, \[{{\phi }_{B}}=-E\times \pi {{R}^{2}}\] Flux through curved surface, \[C=\int{E\,.\,ds}\] \[\int{E\,ds\,\cos \,90{}^\circ =0}\] \[\therefore \] Total flux through cylinder \[={{\phi }_{A}}+{{\phi }_{B}}+{{\phi }_{C}}=0\]You need to login to perform this action.
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