Electrostatics Question 510

Question: At a point 20 cm from the centre of a uniformly charged dielectric sphere of radius 10 cm, the electric field is 100 V/m. The electric field at 3 cm from the centre of the sphere will be [BCECE 2005]

Options:

A) 150 V/m

B) 125 V/m

C) 120 V/m

D) Zero

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Answer:

Correct Answer: C

Solution:

Electric field outside of the sphere Eout=kQr2 …(i)

Electric field inside the dielectric sphere Ein=kQxR3 …(ii)

From (i) and (ii), Ein=Eout×r2xR

therefore At 3 cm, E=100×3(20)2103=120V/m



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