ElectrostaticsHard
Question
Consider a uniform spherical distirbution of radius R1 centred at the origin O. In this distribution, a spherical cavity of radius R2, centred at P with distance OP = a = R1 − R2 (see figure) is made. If the electric field inside the cavity at position 
is 
(
), then the correct statement(s) is(are)
:
is (), then the correct statement(s) is(are):
Options
A.is uniform, its magnitude is independent of R2 but its direction depends on r
is uniform, its magnitude is independent of R2 but its direction depends on r B.is uniform, its magnitude depends on R2 and its direction depends on r
is uniform, its magnitude depends on R2 and its direction depends on r C.is uniform, its magnitude is independent of a but its direction depends on 
is uniform, its magnitude is independent of a but its direction depends on D.is uniform and both its magnitude and direction depend on r
is uniform and both its magnitude and direction depend on r Solution
Considering any point A insde the cavity electric field can be calculated at A by using super position priciple.
Due to sphere without cavity - 
Due to sphere of radius R2 & centre at P
But
∴
∴
So E.F. is independent of location of A inside the cavity.
Ans. (D) is correct
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