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Q.

S is a solid neutral conducting sphere. A point charge q of I x 10-6 C is placed at point A ,C is the center of sphere, and AB is a tangent. BC = 3 m and AB = 4 m.

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a

The electric potential of the conductor is 1.8 kV

b

The electric potential of the conductor is 2.25 kV

c

The electric potential at B due to induced charges on the sphere is -0.45 kV.

d

The electric potential at B due to induced charges on the sphere is 0.45 kV.

answer is A.

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Detailed Solution

Distance AC is given by, AC = 5 mPotential at due to charge q at A is given byV=kqAC=9×109×1×10−65=1.8×103=1.8kVPotential at B is given byVB=VBdue to q+VBinduced VBi= Potential at B due to induced charge Thus 1.8×103=kqAB+VBi=2.25×103+VBiVBi=−0.45kVSo (1) and (3) are correct.
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