Question 238: AC fundamentals

Question

A series L-C-R circuit is designed to resonate at an angular frequency $$\omega$$
0
= 10
5
rad/s. The circuit draws 16W power from 120V source at resonance. The value of resistance 'R' in the circuit is _________ $$\Omega$$.

Accepted Answer

Given, angular frequency at resonance, $$\omega$$
0
= 10
5
rads
$$-$$1
Power drawn from circuit, P = 16 W
and supply voltage, V = 120 V
Let resistance of circuit = R.
As, $$P = {V^2}/R$$
$$ \Rightarrow R = {V^2}/P = {{120 	imes 100} \over {16}}$$
$$ = 30 	imes 30 = 900\,\Omega $$

AC fundamentals

A series L-C-R circuit is designed to resonate at an angular frequency $\omega 0 = 10 5 rad/s. The circuit draws 16W power from 120V source at resonance. The value of resistance 'R' in the circuit is _________ \Omega$.

Integer / Numeric Answer Type