Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 20

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IMPORTANT

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Consider two concentric spherical surfaces $S_{1}$ with radius $a$ and $S_{2}$ with radius $2 a$ , both centred at the origin. There is a charge $+ q$ at the origin and there are no other charges. Compare the flux $ϕ_{1}$ , through $S_{1}$ with the flux $ϕ_{2}$ , through $S_{2}$ .

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Important Questions on Electrostatics

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IMPORTANT

Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 21

If

E = (\hat{i} + \sqrt{2} \hat{j} + \sqrt{3} \hat{k}) V m^{- 1}

, then the electric flux through a surface area of

100 m^{2}

lying in the

x y

plane is (in

V m

),

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 22

A point charge

q

is placed near a hemispherical surface without base, cylindrical surface with one end open, spherical surface, and hemispherical surface with the base as shown in the figures in

a, b, c

and

d

respectively. In which of the following cases, the flux crossing through the surface is zero?

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 23

A uniform electric field of

10 N C^{- 1}

exists in the vertically downward direction. Find the increase in the electric potential (in

V

) as one goes up through a height of

50 cm .

EASY

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 24

Electric potential at a certain point due to a point charge and a dipole are respectively proportional to

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 25

The potential of the electric field produced by point charge at any point

(x, y, z)

is given by

V = 3 x^{2} + 5,

where

x, y

are in

metre

and

V

is in

volt

. The intensity of the electric field at,

x = - 2

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 26

Figure shows some equipotential lines distributed in space. A charged object is moved from point $A$ to point $B$ .

Question Image

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 27

Two point charges

100 μC

and

5 μC

are placed at points

A

and

B

respectively with

A B = 40 cm

. Find the work done by external force in displacing the charge

5 μC

from

B

to

C

where

B C = 30 cm

, angle

A B C = \frac{π}{2}

and,

\frac{1}{4 π ε_{0}} = 9 \times 10^{9} {Nm}^{2} C^{- 2}

.

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Physics Crash Course JEE Main>Chapter 13 - Electrostatics>Level 1>Q 28

An electric field is given by $E_{x} = - (2 x^{3}) \hat{i} N C^{- 1}$ . What is the potential at the point $(1, - 2)$ if the potential at a point $(2, 4)$ is taken to be zero?