JEE Main 2017 · 8 Apr · Shift 1 · Physics Q14

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PhysicsSingle correct+4 / -1Question 14 of 90

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 ?

589.5 V

589.2 V

589.4 V

589.6 V

Answer and worked solution

Official answer: B

Across the sphere the potential is $V_P\mp Er$ , so $V_P=589.4$ V and $Er=0.4$ V. Potential falls along the field, so at 60° to it
$V=589.4-0.4\cos60^\circ=589.2\text{ V}.$

Topics:Electric potential Equipotential surfaces

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JEE Main 2017 · 8 Apr · Shift 1, Physics question 14