There is a uniform electrostatic field in a region. The potential at various points on a small sphere…

There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region, is found to vary between the limits 589.0 V to  589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of 60° with the direction of the field?
  1. 589.4 V
  2. 589.5 V
  3. 589.2 V
  4. 589.6 V

Solution



ΔV=Ed

Along diameter  ∆V=589.8-589.0  V
                              =0.8 V

0.8=Ed

Now

ΔV=E d 2 cosθ=0.4×cos 60 o

=0.2

∴589.8−V=0.2

V=589.6 V

Asked in: JEE Main 2017 (08 Apr Online)

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