electric-charges-and-fields Question 22

Question: Q. 5. Two thin concentric and coplanar spherical shells, of radii a and b(b>a) carry charges, q and Q, respectively. Find the magnitude of the electric field, at a point at distance x, from their common centre for :

(i) 0<x<a

(ii) ax<b

(iii) bx<

A [Comptt. Delhi, 2016]

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Solution:

Ans.

(i) For 0<x<a

Point lies inside both the spherical shells. Hence, E(x)=0

(ii) For ax<b

Point is outside the spherical shell of radius ’ a ’ but inside the spherical shell of radius ’ b ‘.

E(x)=14πε0qx2

1

(iii) For bx

Point is outside of both the spherical shells. Total effective charge at the centre equals (Q+q).

(1)E(x)=14πε0(q+Qx2)

[CBSE Marking Scheme, 2016]



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