JEE Main 12 Jan 2019 Evening Question 15

Question: 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 Online Paper Held On 12-Jan-2019 Evening]

Options:

A) $ \frac{6}{5}\mu F $

B) $ 4\mu F $

C) $ \frac{7}{11}\mu F $

D) $ \frac{7}{10}\mu F $

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Answer:

Correct Answer: C

Solution:

The given circuit can be simplified as follows:

So, $ \frac{C( \frac{7}{3} )}{\frac{7}{3}+C}=\frac{5}{10}\Rightarrow C=\frac{7}{11}\mu F $