Question

The inductance in the drawing has a value of L = 9.4 mH. What is the resonant frequency f0 of this circuit?

Answer 1

The resonant frequency of this circuit is 1190.91 Hz.

Step-by-step explanation:

Given that,

Inductance,
`L=9.4\ mH=9.4* 10^(-3)\ H`

Resistance, R = 150 ohms

Capacitance,
`C=1.9\ \mu F=1.9* 10^(-6)\ C`

At resonance, the capacitive reactance is equal to the inductive reactance such that,

`X_C=X_L`

`2\pi f_o L=(1)/(2\pi f_oC)`

f is the resonant frequency of this circuit

`f_o=(1)/(2\pi √(LC))`

`f_o=\frac{1}{2\pi \sqrt{9.4* 10^(-3)* 1.9* 10^(-6)}}`

`f_o=1190.91\ Hz`

So, the resonant frequency of this circuit is 1190.91 Hz. Hence, this is the required solution.