A coil of inductive reactance $31 Ω$ has a resistance of $8 Ω$ . It is placed in series with a condenser of capacitive reactance $25 Ω$ . The combination is connected to an $a . c .$ . source of $110$ volts. The power factor of the circuit is.

$0.80$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$0.33$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$0.56$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$0.64$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
$0.80$

Step1: Given data.
Inductive reactance, $X_{L} = 31 Ω$
Resistance, $R = 8 Ω$
Capacitive reactance, $X_{C} = 25 Ω$
Step2: Finding impedance of the circuit.
We know that,
$Z = \sqrt{R^{2} + {(X_{C} - X_{L})}^{2}}$
Where, $Z$ is the impedance of the circuit.
Since,
$\Rightarrow$ $Z = \sqrt{8^{2} + {(25 - 31)}^{2}}$
$\Rightarrow$ $Z = 10 Ω$ …. $(i)$
Step3: Finding power factor of the circuit.
Also, we know that.
Power factor $= \cos ϕ = \frac{R}{Z} = \frac{8}{10} = 0.80$
Hence, option A is correct.

Suggest Corrections

Similar questions

Q. A coil of inductive reactance 31 has a resistance of 8. It is placed in series with a condenser of capacitive reactance 25. The combination is connected to an a.c. source of 110V. The power factor of the circuit is

Q. A series LCR circuit is connected to a 220 V ac source of variable frequency. The inductance of the coil is 5H, capacitance of the capacitor is 5

μ

F and resistance is 40

Ω

. Its resonance, calculate
1) The resonant frequency
2)Current in the circuit
3)The inductive reactance

Q. When a series combination of inductance and resistance are connected with a

10 V .50 H z a . c

. source, a current of

1 A

flows in the circuit . The voltage leads the current by a phase angle of

\frac{π}{3}

radian. Calculate the values of resistance and inductive reactance.

Q. a coil o inductive reactance 31 ohm has a resistance o 8 ohm . It is placed in series with a condenser o capacitive reactance 25 ohm. the combination is connected to an AC source o 110 V . the power actor o the circuit is

a coil of inductive reactance 31ohm has a resistance of 8ohm . It is placed in series with a condenser of capacitative reactance 25 ohm. The combination is connected to an AC source of 110V. the power factor of the circuit is

1) 0.56

2) 0.64

3) 0.80

4) 0.33

Join BYJU'S Learning Program

A coil of inductive reactance 31Ω has a resistance of 8Ω. It is placed in series with a condenser of capacitive reactance 25Ω. The combination is connected to an a.c.. source of 110 volts. The power factor of the circuit is.

A coil of inductive reactance $31 Ω$ has a resistance of $8 Ω$ . It is placed in series with a condenser of capacitive reactance $25 Ω$ . The combination is connected to an $a . c .$ . source of $110$ volts. The power factor of the circuit is.