First slide

Capacitance

Question

In circuit diagram capacitance of capacitor $C_{1} = 3 μ F$ and $C_{2} = 1 μ F$ . It is given that time constant of circuit between A and B is 3 millisecond. Value of R will be

Difficult

A

$1 Ω$
B

$10 Ω$
C

$100 Ω$
D

$1000 Ω$

Solution

Equivalent circuit can be drawn as below
$\begin{array}{l} RC = 3 \times 10^{- 1} \sec \\ R \times 3 \times 10^{- 6} = 3 \times 10^{- 3} \\ R = 1000 Ω \end{array}$
$∴$ Correct answer is (4)

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