question_answer

In given RC circuit, capacitance of capacitor \[{{C}_{1}}=3\mu F\]and \[{{C}_{2}}=1\mu F\]. It is given that time constant of circuit between A and B is 3 millisecond. Value of R will be

A) \[1\,\Omega \]

B) \[10\,\Omega \]

C) \[100\,\Omega \]

D) \[1000\,\Omega \]

Correct Answer: D

Solution :

[d] Equivalent circuit can be drawn as below \[RC=3\times {{10}^{-3}}sec\] \[R\times 3\times {{10}^{-\,6}}=3\times {{10}^{-\,3}}\] \[R=10000\,\Omega \]