Question

You are given 3 capacitors of capacities 3 µf, 2 µf, 1 µf You have to make a capacitors of capacitance less than 1 µf.

1. How do you arrange the capacitors, show by a diagram?

2. Write an expression for effective capacitance of the above combination and verify the result.

Answer 1

1. Connect in series

2.  \(\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}\)

\(\frac{1}{C}= \frac{1}{3\mu F}+\frac{1}{2\mu F}+\frac{1}{1\mu F}\)

C = \(\frac{6}{11}\mu F\)