A spherical conductor of radius 12 cm has a charge of 1 . 6 × 10 - 7 C distributed uniformly on its surface. What is the electric field inside the sphere?

In a steady state where there is no movement of charges, the field inside a conductor should be zero. If the field is not zero, the free charge particles that are present in the conductor will start moving, so we cannot call it a steady state anymore. Therefore, once the charge distribution takes place and the steady state is achieved, the field inside a conductor becomes zero.

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The internal and external pressures for a soap bubble are same. The surface tension of soap solution is $0.04 N / m$ and its diameter is $4 cm$ . Determine the charge on soap bubble.

Important Questions on Electrostatics

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R/2, R and 2R respectively, as shown in the figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1, 2 and 3 are

E_{1}, E_{2}

and

E_{3}

respectively, then

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HARD

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Two uniformly charged spherical conductors

A

and

B

of radii

5 mm

and

10 mm

are separated by a distance of

2 cm

. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere

A

and

B

will be

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

A metallic sphere is placed in a uniform electric field. The line of force follow the path(s) shown in the figure as,

Question Image

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

When a soap bubble is charged?

HARD

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Three concentric spherical shells are arranged as shown in the figure. The innermost and outermost spheres are connected to earth. If the middle sphere is given a charge $q_{0}$ . the charges induced in the innermost and outermost spheres respectively are

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MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Conventionally which coloured wire is used for earthing?

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Given below are two statements.
Statement I : Electric potential is constant within and at the surface of each conductor.

Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point.

In the light of the above statements, choose the most appropriate answer from the options give below.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Two charged spherical conductors of radius

R_{1}

and

R_{2}

are connected by a wire. Then the ratio of surface charge densities of the spheres

(σ_{1} / σ_{2})

is :

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

A hollow conducting sphere is placed in an electric field produced by a point charge placed at $P$ as shown in figure. Let $V_{A}, V_{B}, V_{C}$ be the potentials at points $A, B$ and $C$ , respectively. Then

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EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

A spherical conductor $A$ is placed concentrically inside a hollow spherical conductor $B$ . The charge $+ Q$ is given to $A$ and $B$ is earthed. Then the electric field is not zero

Question Image

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

A positive charge

q

is placed at the centre of a neutral hollow cylindrical conducting shell with its cross section as shown in the figure below.

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Which one of the following figures correctly indicates the induced charge distribution in the conductor (ignore edge effects).

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

The excess of pressure, due to surface tension, on a spherical liquid drop of radius

R

is proportional to

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Consider an initially neutral hollow conducting spherical shell with inner radius $r$ and outer radius $2 r .$ A point charge $+ Q$ is now placed inside the shell at a distance $\frac{r}{2}$ from the center. The shell is then grounded by connecting the outer surface to the earth. P is an external point at a distance $2 r$ from the point charge $+ Q$ on the line passing through the center and the point charge $+ Q$ as shown in the figure.

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The magnitude of the force on a test charge $+ q$ placed at P will be

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Assertion: The whole charge of a conductor cannot be transferred to another isolated conductor.

Reason: The total transfer of charge from one to another is not possible.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Three concentric metallic spherical shells of radii $R$ ,

2 R

and

3 R

are given charges

Q_{1}

Q_{2}

and

Q_{3}

, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to shells,

Q_{1} : Q_{2} : Q_{3},

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Assertion: Electric field inside the metal is zero when it is placed in external electric field.

Reason: In metal, induced electric field is equal and opposite of applied field.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Assertion: Two spherical cavities are made inside a conductor having charge

Q

. Two point charges

q_{1}

and

q_{2}

are kept at the centres of cavity and another charge

q

is kept outside the conductor. Electric field due to charge on outer surface of conductor is zero at a point inside the conductor.

Reason: In the above assertion electric potential is constant inside the conductor in static condition.

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

A spherical conductor of radius

12 cm

has a charge of

1.6 \times 10^{- 7} C

distributed uniformly on its surface. What is the electric field inside the sphere?

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Charges

Q, 2 Q, - Q

are given to three concentric conducting spherical shells

A, B,

and

C

respectively, as shown in the figure. The ratio of charges on the inner and the outer surfaces of the shell

C

will be-

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatics of Conductors

Assertion: When a charged body is brought near a neutral conducting body, the induced charge that appears on the nearer surface of the conducting body is always equal and opposite to the charge that has been brought near to it.

Reason: Net electric field inside the conductor is zero.

The internal and external pressures for a soap bubble are same. The surface tension of soap solution is 0.04 N/m and its diameter is 4 cm. Determine the charge on soap bubble.

Important Questions on Electrostatics

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The internal and external pressures for a soap bubble are same. The surface tension of soap solution is $0.04 N / m$ and its diameter is $4 cm$ . Determine the charge on soap bubble.