tal-charge-is-q-which-integral-setup-correctly-gives-the-potential-at-the-center

Question

A uniformly charged semicircular arc of radius RR lies above the xx-axis and is centered at the origin. Its total charge is QQ. Select the integral setup that gives the potential at the center.

Accepted Answer

V=k∫dqR\displaystyle V=k\int\frac{dq}{R}

Answer

V=k∫dqR2\displaystyle V=k\int\frac{dq}{$$R^2$$}

Answer

V=k∫R dq\displaystyle V=k\int R\,dq

Answer

V=k∫dqcos⁡θR\displaystyle V=k\int\frac{dq \cos	heta}{R}