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JEE Main 2017 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2017

There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at , in the region, is found to vary between the limits V to V. What is the potential at a point on the sphere whose radius vector makes an angle of with the direction of the field?

Answer: (3)

Solution

In a uniform field , the potential at a point displaced by from is

V = - Missing argument for \vec\vec E·Missing argument for \vec\vec r = - Erθ,

where is the angle between and . As runs over the sphere, runs from to , so

= - Er = 589.0, = +

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Question ID VK-115778