I have this problem for homework and I would like to check my work:(adsbygoogle = window.adsbygoogle || []).push({});

Charges are distribyted with uniform charge density (lambda)along a semi circle of radius R, centered at the origin of a coordinate system.

What is the potential at the origin?

I did this:

dV=k*dq/R where k=1/4*pi*(epsilon 0)

butdq=(lambda)*R*d(theta)theta is the small angle between two position on the semi circle.

pi

then V =| k*(lambda)*R*d(theta) / R (integral from 0 to pi)

0

After computation I found:V=(lambda)/(4*epsilon 0)

Thank you

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# Potential for semi-circle

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