A cylindrical capacitor has two co-axial cylinders of length $20 \,cm$ and radii $2 r$ and $r$. Inner cylinder is given a charge $10 \,\mu C$ and outer cylinder a charge of $-10 \,\mu C$. The potential difference between the two cylinders will be
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(a)
$C=\frac{2 \pi \varepsilon_0 l}{\ln \left(\frac{b}{a}\right)}$
$C=\frac{2 \pi \varepsilon_0\left(\frac{20}{100}\right)}{\ln ^2}$
$\Delta V=\frac{10 \times 10^{-8} \ln 3}{2 \pi \varepsilon_0\left(\frac{20}{100}\right)}$
$\Delta V=\frac{10^{-4} \ln 2}{4 \pi \varepsilon_0}$
$\Delta V=\frac{0.1 \ln 2}{4 \pi \varepsilon_0} mV$
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