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Question

# A spherical conductor of radius 10 cm has a charge of 3.2×10−7C distributed uniformly. What is the magnitude of electric field at point 15 cm from centre of sphere? (14πϵ0=9×109 Nm2/C2)

A
1.28×106 N/C
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B
1.28×107 N/C
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C
1.28×104 N/C
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D
1.28×105 N/C
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Solution

## The correct option is D 1.28×105 N/CFor any spherical conductor, if it has any charge, the charge will reside on the surface of the conductor. Given, radius of conductor is 10 cm and we have to find electric field at distance of 15 cm. So, we can assume the sphere as point charge to calculate the electric field at distance of 15 cm. Q=3.2×10−7 C r=15 cm=0.15 m |E|=14πϵ0×Q×1r2 |E|=9×109×3.2×10−7 ×10.152 |E|=1.28×105 N/C

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