EASY

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The correct representation of electric field lines formed by a combination of two negative charges is:

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Important Questions on Electrostatics

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

The electric field in a certain region is acting radially outward and is given by

E = A r

. A charge contained in a sphere of radius

a

centred at the origin of the field will be given by

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

A long cylindrical shell carries positive surface charge

σ

in the upper half and negative surface charge

- σ

in the lower half. The electric field lines around the cylinder will look like figure given in:

(figures are schematic and not drawn to scale)

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

The angle between the electric lines of force and the equipotential surface is

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

The magnitude of the average electric field normally present in the atmosphere just above the surface of the Earth is about

150 N / C

, directed inward towards the center of the Earth. This gives the total net surface charge carried by the Earth to be : [Given :

\in_{O} = 8.85 \times 1 0^{- 12} C^{2} / {N-m}^{2}, R_{E} = 6.37 \times 1 0^{6} m

]

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

Which is the INCORRECT statement regarding electric lines of force

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

Four closed surfaces and corresponding charge distributions are shown below.

Question Image

Let the respective electric fluxes through the surfaces be

ϕ_{1}, ϕ_{2}, ϕ_{3}

and

ϕ_{4}

. Then:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

Which statement(s) among the following are incorrect:
(i) A negative test charge experiences a force opposite to the direction of the field.
(ii) The tangent drawn to a line of force represents the direction of electric field.
(iii) The electric field lines never intersect.
(iv) The electric field lines form a closed loop.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

Charges $Q_{1}$ and $Q_{2}$ are at points $A$ and $B$ of a right-angled triangle $O A B$ . The resultant electric field at point $O$ is perpendicular to the hypotenuse, then $Q_{1} / Q_{2}$ is proportional to:

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HARD

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

Within a spherical charge distribution of charge density

ρ (r),

N equipotential surfaces of potential

V_{0}, V_{0} + ∆ V, V_{0} + 2 ∆ V, \dots V_{0} + N ∆ V (∆ V > 0),

are drawn and have increasing radii

r_{0}, r_{1}, r_{2}, \dots r_{N},

respectively. If the difference in the radii of the surfaces is constant for all values of

V_{0} a n d ∆ V

then :

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

The work done to move a charge on an equipotential surface is

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

The electric field in a region of space is given by,

\vec{E} = E_{0} \hat{i} + 2 E_{0} \hat{j}

where

E_{0} = 100 N C^{- 1}

. The flux of this field through a circular surface of radius

0.02 m

parallel to the

Y ‐ Z

plane is nearly

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

The electric field lines on the left have twice the separation on those on the right as shown in figure. If the magnitude of the field at $A$ is $40 {Vm}^{- 1}$ , what is the force on $20 μ C$ charge kept at

Question Image

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

The bob of a simple pendulum has mass

2 g

and a charge of

5.0 μ C .

It is at rest in a uniform horizontal electric field of intensity

2000 V / m

At equilibrium, the angle that the pendulum makes with the vertical is:

(t a k e g = 10 m / s^{2})

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

A charged particle initially at rest at

O

, when released follows a trajectory as shown. Such a trajectory is possible in the presence of
Question Image

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

Two charged thin infinite plane sheets of uniform charge density

σ_{+}

and

σ_{-}

, where

|σ_{+}| > |σ_{-}|

, intersect at the right angle. Which of the following best represents the electric field lines for the system:

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

Two metal plates having a potential difference of

800 V

are

2 cm

apart. It is found that a particle of mass

1.96 \times 10^{- 15} kg

remains suspended in the region between the plates. The charge on the particle must be (

e =

elementary charge)

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

A spherical conductor of radius

10 cm

has a charge of

3.2 \times 10^{- 7} C

distributed uniformly. What is the magnitude of electric field at a point

15 cm

from the centre of the sphere?

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

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

What is the angle between maximum value of potential gradient and equipotential surface?

EASY

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

Figure shows three arrangements of electric field lines. In each arrangement, a proton is released from rest at point A and then accelerated through point B by the electric field. Points A and B have equal separations in the three arrangements. If $p_{1}, p_{2}$ and $p_{3}$ are linear momentum of the proton at point B in the three arrangement respectively, then

Question Image

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electric Field (Discrete and Continuous Charge Distributions)

A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the horizontal direction. Which of the following options then correctly describe the trajectory of the mass ? (Curves are drawn schematically and are not to scale)

The correct representation of electric field lines formed by a combination of two negative charges is:

Important Questions on Electrostatics

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