Question

In order to obtain time constant of $10\, s$ in an $R-C$ circuit containing a resistance of $10^3 \Omega$ , the capacity of the condenser should be

• A. $10, \mu,F
• B. $100, \mu,F
• C. $1000 ,\mu,F
• D. $10000 ,\mu,F

Answer 1

Answer: (D)

$10000 ,\mu,F

Answer 2

In an $R - C$ circuit, the product $\tau_{c}= CR$ is the capacitive time constant of the circuit.
Given, $\tau_{c}=10 s, R=10^{3} \Omega$
$\therefore C=\frac{\tau_{c}}{R}=\frac{10}{10^{3}}=10^{-2} F$
$\Rightarrow C=10000\, \mu F$