Verified Solution • 2025–26 Session moderate

QJEEM17Ph6cd5: JEE Main 2017 Physics - Class 12 JEEM17Ph6cd5 Solution: There is a uniform electrostatic field in a region. The…

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 60o with the direction of the field ?

Multiple Choice Options

  • A 589.5 V
  • B 589.2 V
  • C 589.4 V
  • D 589.6 V

Step-by-Step Verified Solution

Potential gradient,

ΔV = E. d

⇒ 589.8 − 589.0 = (E d)max

⇒ (E d)max = 0.8

∴ ΔV = E d cosθ

= 0.8 × cos60o

= 0.4

∴ Maximum potential on the sphere = 589.4 V

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