Two concentric conducting spherical shells of radii a1 and a2(a2>a1) are charged to potentials V1 and V2, respectively. Find the charge on the inner shell.
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a
q1=4πε0(V1−V2a2−a1)a1a2
b
q1=4πε0(V1+V2a2+a1)a1a2
c
q1=πε0(V1−V2a2+a1)a1a2
d
q1=2πε0(V1+V2a2−a1)a1a2
answer is A.
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Detailed Solution
V1=kq1a1+kq2a2Or V2=kq1a2+kq2a2Solve we getq1=14πε0[V1−V2a2−a1]a1a2
Two concentric conducting spherical shells of radii a1 and a2(a2>a1) are charged to potentials V1 and V2, respectively. Find the charge on the inner shell.