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#25 | Charged Infinite Sheet (Gauss Theorem)

(Physics) > Electric Charges and Fields

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Related Practice Questions :

A solid conducting sphere of radius *a* has a net positive charge 2*Q*. A conducting spherical shell of inner radius *b* and outer radius *c* is concentric with the solid sphere and has a net charge –*Q*. The surface charge density on the inner and outer surfaces of the spherical shell will be

(1) $-\frac{2Q}{4\pi {b}^{2}},\frac{Q}{4\pi {c}^{2}}$

(2) $-\frac{Q}{4\pi {b}^{2}},\frac{Q}{4\pi {c}^{2}}$

(3) $0,\frac{Q}{4\pi {c}^{2}}$

(4) None of the above

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A cylinder of radius *R* and length *L* is placed in a uniform electric field *E* parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

(1) $2\pi {R}^{2}E$

(2) $\pi {R}^{2}/E$

(3) $(\pi {R}^{2}-\pi R)/E$

(4) Zero

PMT - 1975

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An electric charge *q *is placed at the centre of a cube of side α. The electric flux on one of its faces will be

(1) $\frac{q}{6{\epsilon}_{0}}$

(2) $\frac{q}{{\epsilon}_{0}{a}^{2}}$

(3) $\frac{q}{4\pi {\epsilon}_{0}{a}^{2}}$

(4) $\frac{q}{{\epsilon}_{0}}$

AIIMS - 2001

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Total electric flux coming out of a unit positive charge put in air is** **

(1) ${\epsilon}_{0}$

(2) ${\epsilon}_{0}^{-1}$

(3) ${\left(4p{\epsilon}_{0}\right)}^{-1}$

(4) $4\pi {\epsilon}_{0}$

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A cube of side *l* is placed in a uniform field *E*, where $E=E\hat{i}$. The net electric flux through the cube is

(1) Zero

(2) *l*^{2}*E*

(3) 4*l*^{2}*E*

(4) 6*l*^{2}*E*

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