The energy stored in the electric field produced by a metal sphere is 4 . 5   J . If the sphere…

The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 μC charge, its radius will be: Take:14π∈0=9×109 N m2 C-2
  1. 32 mm
  2. 16 mm
  3. 28 mm
  4. 20 mm

Solution

Energy of sphere =Q22C

4.5=16×10-122C

C=16×10-129=4πε0R

R=16×10-129×14πε0

R=16×10-129×14πε0

=9×109×169×10-12

=16×10-3=16 mm

Asked in: JEE Main 2017 (08 Apr Online)

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