Figure shows a network of capacitors where the numbers indicates… | JEE Main 2016 (10 Apr, Shift 1)

Q84JEE Main 2016 · 10 APR · SHIFT 1Medium

Combination of Capacitors

Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be 1 $\mu$ F is:

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Answer: (b)

Left branch: $2 \parallel 2 = 4$ , in series with $8$ : $\frac{8}{3}$ .
Right branch: $6$ and $12$ in series $= 4$ , in parallel with $4$ : $8$ ; in series with $1$ : $\frac{8}{9}$ .
Below C: $\frac{8}{3} + \frac{8}{9} = \frac{32}{9}$ .
$\frac{1}{C} + \frac{9}{32} = 1 \Rightarrow C = \frac{32}{23}\ \mu\text{F}$
So the answer is (b) $\frac{32}{23}\ \mu\text{F}$ .

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Combination of Capacitors question from JEE Main 2016 (10 Apr, Shift 1)

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