A capacitor is connected to a \( 20 \, \text{V} \) battery through a resistance of \( 10 \, \Omega \). It is found that the potential difference across the capacitor rises to \( 2 \, \text{V} \) in \( 1 \, \mu \text{s} \). The capacitance of the capacitor is_____ \( \mu \text{F} \).
Given $\ell n\left(\frac{10}{9}\right) = 0.105$
