Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 23

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The electric potential decreases uniformly from $V$ to $- V$ along $X$ -axis in a coordinate system as we moves from a point $(- x_{\circ}, 0)$ to $(x_{\circ}, 0)$ , then the electric field at the origin :

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Important Questions on Electrostatics

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Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 25

The dipole moment of a system of charge

+ q

distributed uniformly on an arc of radius

R

subtending an angle

\frac{π}{2}

at its centre where another charge

- q

is placed is

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Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 26

An electric dipole is kept on the axis of a uniformly charged ring at distance

\frac{R}{\sqrt{2}}

from the centre of the ring. The direction of the dipole moment is along the axis. The dipole moment is

P

, the charge of the ring is

Q

and radius of the ring is

R

. The force on the dipole is

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Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 27

Point

P

lies on the axis of a dipole. If the dipole is rotated by

90 °

anticlock wise, the electric field vector

\vec{E}

at

P

will rotate by:

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Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 29

Charges

Q_{1}

and

Q_{2}

lies inside and outside respectively of a closed surface

S

. Let

E

be the field at any point on

S

and

ϕ

be the flux of

E

over

E

.

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Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 30

An electric dipole is placed at the centre of a sphere. Mark the correct answer :

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Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 32

At distance of

5 cm

and

10 cm

outwards from the surface of a uniformly charged solid sphere, the potentials are

100 V

and

75 V

respectively. Then:

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Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 33

An electric field converges at the origin whose magnitude is given by the expression

E = 100 rN / C

, where

r

is the distance measured from the origin.

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Beta Question Bank for Engineering: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 34

A bullet of mass $m$ and charge $q$ is fired towards a solid uniformly charged sphere of radius $R$ and total charge $+ q$ . If it strikes the surface of sphere with speed $u$ , find the minimum value of $u$ so that it can penetrate through the sphere. (Neglect all resistance forces or friction acting on bullet except electrostatic forces)

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