Question

You need a capacitance of 55.0 uF, but you don't happen to have a 55.0 uF capacitor. You do have a 90.0 uF capacitor. Part A What additional capacitor do you need to produce a total capacitance of 55.0 uF? Express your answer with the appropriate units. ► View Available Hint(s) μΑ ? C = 207 uF. Submit Previous Answers

Answer 1

Let the given capacitor be

C1 = 90 F

Required total capacitance is $C_t = 55 \ \mu F$

Let be the additional capacitor

Let the capacitors $C_1$ and be connected in series and their resultant be $C_t$

Therefore,

$\\C_t = \frac{C * C_1}{C + C_1} \\\\55 = \frac{C * 90}{C + 90} \\\\55 * (C + 90) = 90C \\\\55C + 4950 = 90C \\\\35C = 4950 \\\\C = \frac{4950}{35} \\\\C = 141.43 \ \mu F$