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

admin:

Related Questions

  1. In Young’s experiment, the third bright band for light of wavelength 6000Å
  2. A body moves with a uniform acceleration a and zero initial velocity
  3. Three resistances P,Q,R each of 2Ω and an unknown resistances S form the four arms
  4. The ratio of the weight of a man in a stationary lift and when it is moving downwards
  5. In Young’s double slit interference experiment, using two coherent waves