The electric field due to a point charge at distance ‘r’ is 

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URSC ISRO Technical Assistant Electronics 24 March 2019 Official Paper
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  1. directly proportional to r
  2. directly proportional to r2
  3. inversely proportional to r
  4. inversely proportional to r2

Answer (Detailed Solution Below)

Option 4 : inversely proportional to r2
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The electric field at a distance 'r' due to a point charge is given by:

\(\bar E= \frac{Q}{{4\pi {\epsilon_0}{r^2}}} \hat a_r\)

r = distance from the point charge

r = unit direction vector

This is explained with the help of the following diagram:

F1 S.B Deepak 06.03.2020 D4

As the distance from the point charge decreases the magnitude also decreases.

Important Points:

  • The direction is radial: outward for +|Q| and inward for -|Q|
  • Magnitude: Constant on any spherical shell
  • Flux through any shell enclosing Q is the same: EAAA = EBAB
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