Explanation:
In an \(R-C\) circuit, the product
\(\tau_{c}=C R\) is the capacitive time constant
of the circuit.
Given, \({\tau _c} = 10\;s,R = {10^3}\Omega \)
\(\therefore \,\,\,\,\,\,\,\,\,\,\,{\kern 1pt} C = \frac{{{\tau _c}}}{R}\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{10}}{{{{10}^3}}} = {10^{ - 2}}\;F\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10000\mu F\)