A charge Q is distributed over three concentric spherical shells of radii a , b , c a < b < c such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r < a , would be:

Q a + b + c 4 π ϵ 0 a 2 + b 2 + c 2

Q a 2 + b 2 + c 2 4 π ϵ 0 a 3 + b 3 + c 3

Q 12 π ϵ 0 a b + b c + c a a b c

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For an electrostatic system of the statement is always true:
(a) electric lines are parallel to metallic surfaces.
(b) the electric field inside a metallic surface is zero.
(c) electric lines of force are perpendicular to the equipotential surface.

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Important Questions on Electrostatics

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 161

Total flux coming out of some closed surface is:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 162

Three charges

q_{1} = 1 \times 10^{- 6} C, q_{2} = 2 \times 10^{- 6} C, q 3 = - 3 \times 10^{- 6} C

have been placed, as shown in the figure, in four surfaces

S_{1}, S_{2}, S_{3}

and

S_{4}

electrical flux emitted from the surface

S_{2}

N m^{2} C^{- 1}

will be -

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 163

The intensity of an electric field at some point distant

r

from the axis of infinite long pipe having charges per unit length as

q

will be:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 164

Eight charges,

1 μ C, - 7 μ C, - 4 μ C, 10 μ C, 2 μ C, - 5 μ C, - 3 μ C

and

6 μ C

, are situated at the eight corners of a cube of side

20 c m

. A spherical surface of radius

80 c m

encloses this cube. The centre of the sphere coincides with the centre of the cube. Then, the total outgoing flux from the spherical surface (in units of

V - m

) is

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 165

A closed cylinder of radius

R

and length

L

is placed in a uniform electric field

E,

parallel to the axis of the cylinder. Then the electric flux through the cylinder must be -

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 166

As shown in the figure, a charge is placed at the centre of the cubical vessel (with one face open) is placed at the centre of the cubical vessel (with one face open) as shown in the figure. The flux of the electric field through the surface of the vessel is

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 167

Electric charge is uniformly distributed along a long straight wire of radius $1 mm .$ The charge per $cm$ length of the wire is $Q$ coulomb. Another cylindrical surface of radius $50 cm$ and length $1 m$ symmetrically encloses the wire as shown in fig. The total electric flux passing through the cylindrical surface is -

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 168

If the geometric axis of cylinder is parallel to the electric field, the flux through the cylinder will be -

For an electrostatic system of the statement is always true: (a) electric lines are parallel to metallic surfaces. (b) the electric field inside a metallic surface is zero. (c) electric lines of force are perpendicular to the equipotential surface.

Important Questions on Electrostatics

Learn and Prepare for any exam you want !

For an electrostatic system of the statement is always true:
(a) electric lines are parallel to metallic surfaces.
(b) the electric field inside a metallic surface is zero.
(c) electric lines of force are perpendicular to the equipotential surface.