A point charge q is placed over a horizontal square of side L at a normal distance of L/4 from its centre. Electric flux through the square is

1. $\mathrm{\varphi}=\frac{\mathrm{q}}{6{\mathrm{\epsilon}}_{0}}$

2. $\mathrm{\varphi}<\frac{\mathrm{q}}{6{\mathrm{\epsilon}}_{0}}$

3. $\frac{\mathrm{q}}{6{\mathrm{\epsilon}}_{0}}<\mathrm{\varphi}<\frac{\mathrm{q}}{{\mathrm{\epsilon}}_{0}}$

4. $\mathrm{\varphi}>\frac{\mathrm{q}}{6{\mathrm{\epsilon}}_{0}}$

Concept Questions :-

Gauss law

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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

Concept Questions :-

Gauss law

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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

Concept Questions :-

Gauss law

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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

Concept Questions :-

Gauss law

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

Concept Questions :-

Gauss law

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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*

Concept Questions :-

Gauss law

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A charge *q* is placed at the centre of the open end of the cylindrical vessel. The flux of the electric field through the surface of the vessel is** **

(1) Zero

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

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

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

Concept Questions :-

Gauss law

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According to Gauss’ Theorem, electric field of an infinitely long straight wire is proportional to

(1) *r*

(2) $\frac{1}{{r}^{2}}$

(3) $\frac{1}{{r}^{3}}$

(4) $\frac{1}{r}$

Concept Questions :-

Gauss law

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Electric charge is uniformly distributed along a long straight wire of radius 1*mm*. The charge per *cm* length of the wire is *Q* *coulomb*. Another cylindrical surface of radius 50 *cm* and length 1*m* symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is

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

(2) $\frac{100Q}{{\epsilon}_{0}}$

(3) $\frac{10Q}{\left(\pi {\epsilon}_{0}\right)}$

(4) $\frac{100Q}{\left(\pi {\epsilon}_{0}\right)}$

Concept Questions :-

Gauss law

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The S.I. unit of electric flux is** **

(1) *Weber*

(2) *Newton per coulomb*

(3) *Volt* × *metre*

(4) *Joule *per *coulomb*

Concept Questions :-

Gauss law

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