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Question

# A spherical conductor of radius 10 cm has a charge of 3.2×10−7 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 NC−1 Given, q=3.2×10−7 Cd=r+5=10+5=15 cm Field at any point outside the spherical shell is, E=14πε0qd2 =9×109×3.2×10−7(15×10−2)2=9×3.2×106225 =288225×105 =1.28×105 NC−1 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (b) is the correct answer.

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