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Q.

Three concentric spherical conductors A, B, and C of radii R, 2R , and 4R, respectively. A and C is shorted and B is uniformly charged (charge +Q). Charge on conductor A isPotential at A isPotential at B is

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a

Q/3

b

-Q/3

c

2Q/3

d

-2Q/3

e

Q/4πε0R

f

Q/16πε0R

g

Q/20πε0R

h

5Q/48πε0R

i

Q/4πε0R

j

Q/16πε0R

k

Q/48πε0R

l

5Q/48πε0R

answer is , , .

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Detailed Solution

q1+q2=0vA=kq1R+kQ2R+kq24RvC=kq14R+kQ4R+kq24RvA=vCq1=−Q3 and q2=Q3vA=k−Q3R+Q2R+Q12R=Q16πε0RvB=k−Q6R+Q2R+Q12R=5Q48πε0Rq1+q2=0vA=kq1R+kQ2R+kq24RvC=kq14R+kQ4R+kq24RvA=vCq1=−Q3 and q2=Q3vA=k−Q3R+Q2R+Q12R=Q16πε0RvB=k−Q6R+Q2R+Q12R=5Q48πε0Rq1+q2=0vA=kq1R+kQ2R+kq24RvC=kq14R+kQ4R+kq24RvA=vCq1=−Q3 and q2=Q3vA=k−Q3R+Q2R+Q12R=Q16πε0RvB=k−Q6R+Q2R+Q12R=5Q48πε0R
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