Navigate

The electric potential at a point in free space due to a charge Q coulomb is Q x 10¹¹ v

The electric potential at a point in free space due to a charge Q coulomb is Q x 10¹¹ volts. The electric field at that point is

Options

(a) 4π?￢ﾂﾀQ x 10²² volt/m
(b) 12π?￢ﾂﾀQ x 10²⁰ volt/m
(c) 4π?￢ﾂﾀQ x 10²⁰ volt/m
(d) 12π?￢ﾂﾀQ x 10²² volt/m

Correct Answer:

4π?￢ﾂﾀQ x 10²² volt/m

Explanation:

Given that V = Q x 10¹¹ volts Electric potential at point is given by
V = 1 / 4π?￢ﾂﾀ . Q/r or,
Q x 10¹¹ = 1 / 4π?￢ﾂﾀ . Q/r
r = 1 / 4π?￢ﾂﾀ.10⁻¹¹ m.
As |E| = |V| / r = Q x 10¹¹ / (1 / 4π?￢ﾂﾀ.10⁻¹¹)
= 4π?￢ﾂﾀQ x 10²² volt/m

AIPMT2008
admin:

Related Questions

  1. In which of the following heat loss is primarily not due to convection?
  2. A parallel plate capacitor with air between the plates has a capacitance of 9 pF.
  3. If the force exerted by an electric dipole on a charge q at a distance of 1 m is F
  4. Find the right condition(s) for Fraunhofer diffraction due to a single slit.
  5. If the cold junction of a thermo-couple is kept at 0⁰C and the hot junction is kept