Electric Potential
Q1a
\[V=\frac{1}{4\pi\varepsilon_{0}}\frac{Q}{r}$$
$$\frac{1}{4\pi\varepsilon_{0}}\frac{12.6\times10^{-6}}{0.0519}=2181948.989\]
Q1b
\[V=\frac{1}{4\pi\varepsilon_{0}}\frac{Q}{r}$$
$$\frac{1}{4\pi\varepsilon_{0}}\frac{12.6\times10^{-6}}{0.0519+0.129}=625998$$
$$W=\Delta VQ$$
$$0.152\times10^{-6}\times(2181948-625998)=0.237J\]
Q2
a) \(1\times0.5=0.5\)
\(15\times0.5=7.5V\)
b) \(5=\frac{1}{4\pi\varepsilon_{0}}\frac{Q}{3^2}\)
\(Q=5\times10^{-9}\)