In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 μ F. All values in the circuit are in μ F. (a) 6/5 (b) 7/11 (c) 4 μ F (d) 7/10

Answer: (b). Left branch: two 2 in parallel = 4, in series with 2: 4/3. Right branch: 2 and 2 in series = 1, in parallel with 1: 2; in series with the top 2: 1. Below C: 4/3 + 1 = 7/3. 1/C + 3/7 = 1/0.5 = 2 ⇒ 1/C = 11/7 ⇒ C = 7/11 So the answer is (b) 7/11.

In the circuit shown, find C if the effective capacitance of the… | JEE Main 2019 (12 Jan, Shift 2)

Q79JEE Main 2019 · 12 JAN · SHIFT 2Medium

Combination of Capacitors

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.

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Answer: (b)

Left branch: two $2$ in parallel $= 4$ , in series with $2$ : $\frac{4}{3}$ .
Right branch: $2$ and $2$ in series $= 1$ , in parallel with $1$ : $2$ ; in series with the top $2$ : $1$ .
Below C: $\frac{4}{3} + 1 = \frac{7}{3}$ .
$\frac{1}{C} + \frac{3}{7} = \frac{1}{0.5} = 2 \Rightarrow \frac{1}{C} = \frac{11}{7} \Rightarrow C = \frac{7}{11}\ \mu\text{F}$
So the answer is (b) $\frac{7}{11}\ \mu\text{F}$ .

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Combination of Capacitors question from JEE Main 2019 (12 Jan, Shift 2)

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