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Question

# A point charge of magnitude +1 μc is fixed at (0,0,0). An isolated uncharged spherical conductor is fixed its centre at (4 m, 0, 0). The potential and the induced electric field at the centre of the sphere is

A
1.8×105 V and 5.625×106 V/m
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B
0 V and 0 V/m
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C
2.25×105 V and 5.625×106 V/m
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D
2.25×105 V and 0 V/m
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Solution

## The correct option is C 2.25×105 V and −5.625×106 V/mGiven,q=1μC=1×10−16Cr=4cm=4×10−2mPotential, V=kqr=9×109×10−64×10−2=2.25×105VInduced electric fiels, E=kqr2=9×109×1×10−616×10−4=−5.625×106V/m

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