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BITSAT2019PhysicsElectrostaticsActual

In the following figures, which figure represents the variation of the electric field with distance from the centre of a uniformly charged non-conducting spheres of radius R ?

Correct answer

2

Step-by-step solution

The electric field intensity at a point lying outside the sphere (non-conducting) is E = 1 4 π ε 0 · q r 2 i.e. E ∝ 1 r 2         … i The electric field intensity at the surface ( r = R ) , E = 1 4 π ε 0 q R 2 ⇒ E ∝ 1 R 2 where, R being the radius of sphere, The electric field intensity inside the sphere is E = q r 4 π ε 0 R 3 ⇒ E ∝ r At the centre of sphere, r = 0 ,   ∴ E = 0

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