Infinite charges of magnitude *q* each are lying at *x* =1, 2, 4, 8... *meter* on *X*-axis. The value of the intensity of the electric field at point *x* = 0 due to these charges will be

(1) 12 × 10^{9}*q N/C*

(2) Zero

(3) 6 × 10^{9}*q N/C*

(4) 4 × 10^{9}*q N/C *

Concept Questions :-

Electric field

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A pendulum bob of mass $30.7\times {10}^{-6}\text{\hspace{0.17em}}kg$ and carrying a charge $2\times {10}^{-8}\text{\hspace{0.17em}}C$ is at rest in a horizontal uniform electric field of 20000 *V*/*m*. The tension in the thread of the pendulum is $(g=9.8\text{\hspace{0.17em}}m/{s}^{2})$

(1) $3\times {10}^{-4}\text{\hspace{0.17em}}N$

(2) $4\times {10}^{-4}\text{\hspace{0.17em}}N$

(3) $5\times {10}^{-4}\text{\hspace{0.17em}}N$

(4) $6\times {10}^{-4}\text{\hspace{0.17em}}N$

Concept Questions :-

Electric field

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A charged ball *B* hangs from a silk thread *S*, which makes an angle θ with a large charged conducting sheet *P*, as shown in the figure. The surface charge density σ of the sheet is proportional to** **

(1) sin θ

(2) tan θ

(3) cos θ

(4) cot θ

Concept Questions :-

Electric field

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Two-point charges +8*q * and –2*q* are located at *x* = 0 and *x* = *L* respectively. The location of a point on the *x*-axis at which the net electric field due to these two point charges is zero is** **

(1) 8 *L *

(2) 4 *L *

(3) 2 *L*

(4) $\frac{L}{4}$

Concept Questions :-

Electric field

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Three infinitely long charge sheets are placed as shown in the figure. The electric field at point *P* is

(1) $\frac{2\sigma}{{\epsilon}_{o}}\hat{k}$

(2) $-\frac{2\sigma}{{\epsilon}_{o}}\hat{k}$

(3) $\frac{4\sigma}{{\epsilon}_{o}}\hat{k}$

(4) $-\frac{4\sigma}{{\epsilon}_{o}}\hat{k}$

Concept Questions :-

Electric field

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Two infinitely long parallel conducting plates having surface charge densities +σ and –σ respectively, are separated by a small distance. The medium between the plates is a vacuum. If *ε*_{0} is the dielectric permittivity of vacuum, then the electric field in the region between the plates is

(1) *$0volts/meter$*

(2) $\frac{\sigma}{2{\epsilon}_{o}}volts/meter$

(3) $\frac{\sigma}{{\epsilon}_{o}}volts/meter$

(4) $\frac{2\sigma}{{\epsilon}_{o}}volts/meter$

AIIMS - 2005

Concept Questions :-

Electric field

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Four-point +*ve* charges of the same magnitude (*Q*) are placed at four corners of a rigid square frame as shown in the figure. The plane of the frame is perpendicular to *Z-*axis. If a –*ve* point charge is placed at a distance *z* away from the above frame (*z*<<*L*) then** **

(1) – *ve* charge oscillates along the *Z-axis*.

(2) It moves away from the frame

(3) It moves slowly towards the frame and stays in the plane of the frame

(4) It passes through the frame only once.

AIIMS - 2005

Concept Questions :-

Coulomb's 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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Electric field at a point varies as *r*° for

(1) An electric dipole

(2) A point charge

(3) A plane infinite sheet of charge

(4) A line charge of infinite length

Concept Questions :-

Electric field

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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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