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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.


Learning Progress: Step 40 of 42 in this series