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Q.

Q charge  is given  on each  concentric non counducting very thin  shells as shown in  figure and  9Q  charge given to another non conducting  shell of radius  R  placed at a distance  8R from  centre of  concentric  shells  Then  find  out  net  force  experienced  by a  charge  q  placed  2R  apart    from  centre  of   the   concentric shells ?

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a

kQq4R2

b

zero

c

kQq9R2

d

can  not  be  determined

answer is C.

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Detailed Solution

As we can see from the fig . the  point charges lies out side both the sphere with radius R  where as it is inside the sphere with radius R  where as it is inside the sphere with radius 3R . Electric field inside  uniformly  charged spherical shell is zero. So we can treat both the spheres of  radius R as point charges at centre and we  ignore     the other sphere as it doesn’t have any field at q 

Fnet=KQq(2R)2()+K9Qq(6R)2() Fnet=0

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