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  • A sphere conductor of radius 10 cm has a charge of  distributed unifo

A sphere conductor of radius 10 cm has a charge of 3.2\times 10^{-7} C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere? \left(\frac{1}{4\pi\varepsilon_0} = 9\times10^{9}\mathrm{Nm^2/C^2} \right )

Option: 1

1.28\times 10^{8} N/C


Option: 2

1.28\times 10^{5} N/C


Option: 3

1.28\times 10^{6} N/C


Option: 4

1.28\times 10^{7} N/C


Answers (1)

best_answer

R=10 cm=0.1 m

q=3.2*10^{-7}

r=15 cm =0.15 cm

here r>R

So E=\frac{q}{4\pi r^2}=\frac{9*10^9*3.2*10^{-7}}{(0.15)^2}=128000=1.28\times10^5 \ N/C

Posted by

Divya Prakash Singh

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