A series LCR circuit is designed to resonate at an angular frequency ω 0=105rads- 1 . 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 ω 0=105rads- 1 . 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

P=(V2/R) 16=(1202/R)⇒ R=(14400/16) ⇒ R=900 Ω

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

$P = \frac{V ^{2}}{R}$
$16 = \frac{12 0 ^{2}}{R} \Rightarrow R = \frac{14400}{16}$
$\Rightarrow R = 900 Ω$

Q. A series LCR circuit is designed to resonate at an angular frequency ω0​=105rads−1 . The circuit draws 16W power from 120V source at resonance. The value of resistance R in the circuit is _____ Ω .

P=RV2​ 16=R1202​⇒R=1614400​ ⇒R=900Ω

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

$P = \frac{V ^{2}}{R}$
$16 = \frac{12 0 ^{2}}{R} \Rightarrow R = \frac{14400}{16}$
$\Rightarrow R = 900 Ω$