-->

Electric Charges And Fields

Question
CBSEENPH12039807

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

  • 4 πε subscript straight o Aa squared
  • Aε subscript straight o straight a squared
  • 4 πε subscript straight o Aa cubed
  • straight epsilon subscript straight o Aa cubed

Solution

C.

4 πε subscript straight o Aa cubed

Given,
E= Ar

Here, r= a
From space Eq space left parenthesis 1 right parenthesis space
straight E space equals space fraction numerator 1 over denominator 4 πε subscript 0 end fraction. straight q over straight a squared space equals space Aa
rightwards double arrow space straight q space equals 4 πε subscript 0 Aa cubed