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 Physics Question

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

Related Questions:

  1. Two vessels separately contain two ideal gases A and B at the same temperature,
  2. If X=3YZ², find dimensions of Y if X and Z are the dimensions of capacity
  3. A particle is kept at rest at the top of a sphere of diameter 42m.When disturbed slightly
  4. The dimension of 1/2ε₀E², where ε₀ is permittivity of free space and E is electric field
  5. The horizontal and vertical components of earth’s magnetic field at a place

Topics: Electrostatics (146)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*