EASY

Earn 100

Electric potential in an electric field is given as $V = K r^{- 1} .$ ( $K$ being constant), if position vector $\vec{r} = 2 \hat{i} + 3 \hat{j} + 6 \hat{k}$ then electric field will be:-

50% studentsanswered this correctly

Important Questions on Electrostatics

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

The electric potential

V

at any point

(x, y, z)

in space is given by

V = 4 z^{2}

volt, where

x, y, z

are all in metre. The electric field at that point

(1 m, 0, 2 m)

{Vm}^{- 1}

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

An electric field

\vec{E} = (25 \hat{i} + 30 \hat{j}) N C^{- 1}

exists in a region of space. If the potential at the origin is taken to be zero then the potential at

x = 2 m

y = 2 m

is:

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Two metal plates are separated by

2 cm .

The potentials of the plates are

- 10 V

and

+ 30 V

. The electric field between the two plates is:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

An imaginary equilateral triangle $A B C$ of side length $2 m$ is placed in a uniform electric field $\vec{E} = 10 N C^{- 1}$ as shown. Then. $V_{A} - V_{B} =$

Question Image

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

The electric potential at a point

(x, y)

in the

x

y

plane is given by

V = - K x y

The electric field intensity at a distance

r

from the origin varies as

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

An electric field

\vec{E} = (2 \hat{i} + 3 \hat{j}) N / C

exists in space. The potential difference

(V_{P} - V_{Q})

between two points

P

and

Q

whose position vectors

{\vec{r}}_{P} = \hat{i} + 2 \hat{j}

and

{\vec{r}}_{Q} = 2 \hat{i} + \hat{j} + \hat{k}

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

The figure gives the electric potential $V$ as a function of distance through four regions on $x$ -axis. Which of the following is true for the magnitude of the electric field $E$ in these regions?

Question Image

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Two positive charges

Q

and

4 Q

are placed at points

A

and

B

respectively, where

B

is at a distance

d

units to the right of

A

. The total electric potential due to these charges is minimum at

P

on the line through

A

and

B

. What is (are) the distance (s) of

P

from

A

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Assume that an electric field

\vec{E} = 30 x^{2} \hat{i}

exists in space. Then the potential difference

V_{A} - V_{O}

, where V_O is the potential at the origin and V_A the potential at x = 2 m is :

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

In a region the potential is represented by

V (x, y, z) = 6 x - 8 x y - 8 y + 6 y z,

where

V

is in volts and

x, y, z,

are in meters. The electric force experienced by a charge of

2

coulombs situated at point

(1, 1, 1)

is:

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

An electron is placed on $X$ -axis where the electric potential depends on $x$ as shown in figures (the potential does not depend on $y$ and $z$ ). What is the electric force on the electron?

Question Image

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at

P

, in the region, is found to vary between the limits

589.0 V

589.8 V

. What is the potential at a point on the sphere whose radius vector makes an angle of

60 °

with the direction of the field?

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

An electric field

\vec{E} = 30 x^{2} \hat{i}

exists in space. Then, the potential difference

V_{A} - V_{O},

where

V_{O}

is the potential at the origin and

V_{A}

is the potential at

x = 2 m,

is given by

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

In a certain region of space with volume

0.2 m^{3}

, the electric potential is found to be

5 V

throughout. The magnitude of electric field in this region is:

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

A uniform electric field is prevailing in

X

- direction in certain region. The co-ordinates of points

P, Q,

and

R

are

(0, 0), (2, 0)

and

(0, 2)

respectively. Which of the following alternatives is true for the potentials at these points?

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

For a copper block, find the electric field which can give, on an average,

1 eV

energy to a conduction electron.(The mean free path of conduction electrons in copper is given as

4 \times 10^{- 8} m

)

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

The electric intensity and electric potential at a certain distance

r

from a point charge in air are

150 V / m

and

300 V

respectively. Find the distance

r

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

The electric field in a region is given by

\vec{E} = (A x + B) \hat{i},

where

E

is in

N C^{- 1}

and

x

is in metres. The values of constants are

A = 20 S I

unit and

B = 10 S I

unit. If the potential at

x = 1

V_{1}

and that at

x = - 5

V_{2},

then

V_{1} - V_{2}

HARD

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Some equipotential surfaces are shown. The electric field at any point is

Question Image

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

A metallic sphere is kept in between two oppositely charged plates. The most appropriate representation of the field lines is

Electric potential in an electric field is given as V=Kr-1. (K being constant), if position vector r→=2i^+3j^+6k^ then electric field will be:-

Important Questions on Electrostatics

Learn and Prepare for any exam you want !

Electric potential in an electric field is given as $V = K r^{- 1} .$ ( $K$ being constant), if position vector $\vec{r} = 2 \hat{i} + 3 \hat{j} + 6 \hat{k}$ then electric field will be:-