A series LCR circuit is designed to resonate at an angular frequency ω0=105 rad / s. The circuit draws 16 W power from 120 V source at resonance. The value of resistance 'R' in the circuit is Ω.

Question

A series LCR circuit is designed to resonate at an angular frequency ω0=105 rad / s. The circuit draws 16 W power from 120 V source at resonance. The value of resistance 'R' in the circuit is Ω. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

At resonance P =( V 2/ R ) R =( V 2/ P ) =((120)2/16) =900 Ω

Q. A series LCR circuit is designed to resonate at an angular frequency $ω_{0} = 1 0^{5} r a d / s$ . The circuit draws $16 W$ power from $120 V$ source at resonance. The value of resistance 'R' in the circuit is ________ $Ω.$

At resonance
$P = \frac{V ^{2}}{R}$
$R = \frac{V ^{2}}{P} = \frac{( 120 ) ^{2}}{16}$
$= 900Ω$

Q. A series LCR circuit is designed to resonate at an angular frequency ω0​=105rad/s. The circuit draws 16W power from 120V source at resonance. The value of resistance 'R' in the circuit is ________Ω.

At resonance P=RV2​ R=PV2​=16(120)2​ =900Ω

Q. A series LCR circuit is designed to resonate at an angular frequency $ω_{0} = 1 0^{5} r a d / s$ . The circuit draws $16 W$ power from $120 V$ source at resonance. The value of resistance 'R' in the circuit is ________ $Ω.$

At resonance
$P = \frac{V ^{2}}{R}$
$R = \frac{V ^{2}}{P} = \frac{( 120 ) ^{2}}{16}$
$= 900Ω$