Q.

A point charge of magnitude +1µC is fixed at (0, 0, 0). An isolated uncharged spherical conductor, is fixed with its center at (4, 0, 0) cm. I-he potential and the induced electric field at the centre of the sphere is

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a

0V and 0V/m

b

2.25 × 105V and 0V/m

c

1.8 × 105V and – 5.625 × 106V/m

d

2.25 × 105V and – 5.625 × 106V/m

answer is C.

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Detailed Solution

Induced charges on surface produce zero potential at centre
Vnet =Vpoint charge =14πε0qr=9×109×1×1064×102=2.25×105V
Net field at the center of sphere is zero, so field produced by induced charge is equal to field produced by point charge but in opposite direction 
Req. field=14πε0qr2
=9×109×1×1064×1022=5.625×106NC1

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