A point charge has a charge of 9.00 x 10-12 C. At what distance from the point charge is the electrical potential (a) 13.0 V? (b.) 25.0 v?
(a)We know that electric potential
V=kqrr=kqVr=9×109×9×10−1213=0.00623mV=\frac{kq}{r}\\r=\frac{kq}{V}\\r=\frac{9\times10^9\times9\times10^{-12}}{13}=0.00623mV=rkqr=Vkqr=139×109×9×10−12=0.00623m
Part (b)
V=kqrr=kqVr=9×109×9×10−1225=0.00324mV=\frac{kq}{r}\\r=\frac{kq}{V}\\r=\frac{9\times10^9\times9\times10^{-12}}{25}=0.00324mV=rkqr=Vkqr=259×109×9×10−12=0.00324m
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