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  4. 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 ?

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Q. 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 $60^{\circ}$ with the direction of the field ?

JEE MainJEE Main 2017Electrostatic Potential and Capacitance

Solution:

$\Delta V = E.d$
$0.8 = Ed \left(max\right)$
$\Delta V = Edcos\theta = 0.8 × cos 60$
$= 0.4
589.4$