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