question_answer

In the circuit shown, find C if the effective capacitance of the whole circuit is to be \[0.5\,\,\mu F.\]All values in the circuit are in \[\mu F.\]                   [JEE Main 12-Jan-2019 Evening]

A) \[\frac{6}{5}\mu F\]

B) \[4\mu F\]

C) \[\frac{7}{11}\mu F\]

D) \[\frac{7}{10}\mu F\]

Correct Answer: C

Solution :

[c] The given circuit can be simplified as follows:

So,