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Question

A spherical conductor of radius 10 cm has a charge of 3.2×107 C distributed uniformly. What is the magnitude of electric field at a point 5 cm from the surface of the sphere?

A
1.28×104 NC1
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B
1.28×105 NC1
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C
1.28×106 NC1
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D
1.28×107 NC1
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Solution

The correct option is B 1.28×105 NC1


Given, q=3.2×107 Cd=r+5=10+5=15 cm


Field at any point outside the spherical shell is,

E=14πε0qd2

=9×109×3.2×107(15×102)2=9×3.2×106225

=288225×105

=1.28×105 NC1

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (b) is the correct answer.

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