Two identical conducting spheres R and S have negative charges Q 1 and Q 2 respectively, but Q 1 ≠ Q 2 . The spheres are brought to touch each other and then kept in their original positions, now the force between them is

greater than that before the spheres touched.

less than that before the spheres touched.

same as that before the spheres.

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

E M B I B E

Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 79

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The potential difference between points $A$ and $B$ in the given uniform electric field is:

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Important Questions on Electrostatics

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 80

If a uniformly charged spherical shell of radius

10 cm

has a potential

V

at a point distant

5 cm

from its centre, then the potential at a point distant

15 cm

from the centre will be:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 81

A hollow conducting sphere of radius

R

has a charge

(+ Q)

on its surface. What is the electric potential within the sphere, at a distance

r = \frac{R}{3}

from its centre?

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 82

Consider a thin spherical shell of radius $R$ with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $|\vec{E (r)}|$ and the electric potential $V (r)$ with the distance r from the centre, is best represented by which graph?

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 83

Electric field at point