JEE PYQ: Capacitance Question 40
Question 40 - 2019 (12 Jan Shift 1)
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.
(1) $\frac{7}{11},\mu$F
(2) $\frac{6}{5},\mu$F
(3) 4 $\mu$F
(4) $\frac{7}{10},\mu$F
Show Answer
Answer: (1)
Solution
For series combination: $\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2}$. $\frac{7C}{3+C} = \frac{1}{2}$. $14C = 7 + 3C$. $C = \frac{7}{11},\mu$F.