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A uniformly charged conducting sphere of...

A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of `80.0muC//m^(2)`.
a. Find the charge on the sphere.
b. What is the total electric flux leaving the surface of the sphere?

Text Solution

Verified by Experts

`r=(2.4)/(2)=1.2m" "sigma=80muC m^(-2)=80 xx 10^(-6) Cm^(-2)`
a. `sigma=q/(4pi r^(2), q=sigma xx 4pir^(2) =80 xx 10^(-6) xx 4 xx 3.14 xx (1.2)^(2)=1.45 xx 10^(-2)C=1.45mC`
b. `phi=q/epsi_(0) =(1.45 xx 10^(-3))/(8.85 xx 10^(-12)) =1.64 xx 10^(6) Nm^(2) C^(-2)`
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