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NEET2015PhysicsElectrostaticsActual

The electric field in a certain region is acting radially outward and is given by E = A r . A charge contained in a sphere of radius a centred at the origin of the field will be given by

Options

  1. A4 π ϵ 0 A a 2
  2. BA ϵ 0 a 2
  3. C4 π ϵ 0 A a 3
  4. Dϵ 0 A a 3

Correct answer

C. 4 π ϵ 0 A a 3

Step-by-step solution

We know E Sphere = 1 4 πε 0 q r 2   1 4 πε 0 q a 2 = Aa q = 4 πε 0 Aa 3

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