Question

A series LCR circuit contains inductance 5 mH, capacitance 2µF and resistance ion. If a frequency A.C. source is varied, what is the frequency at which maximum power is dissipated?

Options

• `5/pi xx 10^3`

• `10^-5/pi "HZ"`

• `10^5/pi` HZ

• `2/pi xx 10^5` HZ

Answer 1

`5/pi xx 10^3`

Explanation:

Frequency at which maximum power is dissipated,

f = `1/(2 pi sqrt"LC") = 1/(2pi) xx 1/(sqrt(5 xx 10^-3 xx 2 xx 10^-6))`

or, f = `10^4/(2pi) = (10 xx 10^3)/(2pi) = 5/pi xx 10^3` Hz