A series LCR circuit is designed to resonate at an angular frequency -0-105 rad-s- The circuit draws 16 W power from 120 V source at resonance- The value of resistance R in the circuit is -

At resonance, there is no role of inductor and capacitor in the circuit. nbsp; ∴ P=V^2R 16=120^2R ⇒ R=1440016 ⇒ R=900 Ω ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Inductor

A series LCR ...

Question

A series $L C R$ circuit is designed to resonate at an angular frequency $ω_{0} = 105 rad/s$ . The circuit draws $16 W$ power from $120 V$ source at resonance. The value of resistance $R$ in the circuit is $Ω$

Open in App

Solution

At resonance, there is no role of inductor and capacitor in the circuit.

$∴ P = \frac{V^{2}}{R}$

$16 = \frac{120^{2}}{R}$
$\Rightarrow R = \frac{14400}{16}$

$\Rightarrow R = 900 Ω$

Suggest Corrections

Similar questions

Q. A series

L C R

circuit is designed to resonate at an angular frequency

ω_{0} = 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

Q. A series LCR circuit containing a resistance of 120

Ω

has angular resonance frequency

4 \times 10^{5} r a d s^{- 1}

. At resonance the voltage across the resistance and inductance are 60 V and 40 V respectively. The angular frequency at which current in the circuit lags the voltage by

45^{0}

Q. A series

L C R

circuit containing a resistance of

120 Ω

has angular resonance frequency

4 \times 10^{5} r a d s^{- 1}

. At resonance the voltages across resistance and inductance are

60 V

and

40 V

, respectively. The value of inductance

L

A series LCR circuit is tuned to resonance. If the angular frequency of the applied AC voltage at resonance is $ω$ , the impedance of the circuit then is:

Q. A series LCR circuit containing a resistor of

120 Ω

has an angular resonant frequency

4 \times 10^{5} r a d s^{- 1}

. At resonance the voltages across resistor and inductor are

60 V

and

40 V

respectively.
At what frequency, the current in the circuit lags the voltage by

45^{\circ}

Join BYJU'S Learning Program

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

At resonance, there is no role of inductor and capacitor in the circuit. ∴P=V2R 16=1202R ⇒R=1440016 ⇒R=900 Ω

A series $L C R$ circuit is designed to resonate at an angular frequency $ω_{0} = 105 rad/s$ . The circuit draws $16 W$ power from $120 V$ source at resonance. The value of resistance $R$ in the circuit is $Ω$

At resonance, there is no role of inductor and capacitor in the circuit.

$∴ P = \frac{V^{2}}{R}$

$16 = \frac{120^{2}}{R}$
$\Rightarrow R = \frac{14400}{16}$

$\Rightarrow R = 900 Ω$