Q51 / 55 · KVPY 2020 (SA) · Physics

A charge +q is situated at a distance 'd' away from both the sides of a grounded conducting 'L' shaped sheet as shown in the figure.

Figure

The force acting on the charge +q is

  • A
    towards O, magnitude q232πε0d222+1
  • B
    away from O, magnitude q232πε0d222+1
  • Correct answer
    C
    towards O, magnitude q232πε0d222-1
  • D
    away from O, magnitude q232πε0d222-1

Solution

Figure

By method of image, the given arrangement is equivalent to 

Figure

F1=14πϵ0q22d2, F2=14πϵ0q22d2, F3=14πϵ0q222d2

∴ Fnet=2q216πϵ0d2-q232πϵ0d2

=q232πϵ0d222-1

Hence, the correct answer is option: 'C'.

More Electrostatics Questions