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

Byju's Answer

Standard XII

Physics

Impedance in RLC Circuit

A coil of ind...

Question

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

0.64

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

0.75

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

0.8

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

0.56

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

Open in App

Solution

The correct option is B 0.8
Given : $X_{L} = 31 Ω$ $R = 8 Ω$ $X_{C} = 25 Ω$
Impedance of the circuit $Z = \sqrt{R^{2} + (X_{C} - X_{L})^{2}} = \sqrt{8^{2} + (25 - 31)^{2}} = 10 Ω$
Power factor of the circuit $cos ϕ = \frac{R}{Z} = \frac{8}{10} = 0.8$

Suggest Corrections

Similar questions

Q. As given in the figure, a series circuit connected across a

200

, 60

Hz line consists of a capacitor of capacitive reactance

30 Ω

, a non-inductive resistor of

44 Ω

, and a coil of inductive reactance

90 Ω

and resistance

36 Ω

. The power dissipated in the coil is

Q. A capacitor of

20 μ F

is connected in series with a

25 Ω

resistance to a peak e.m.f

240 v

50 H z

A.c. Calculate
(i)the capacitive reactance of the circuit.
(ii)an impedance of the circuit

Q. A series

LCR

circuit connected across

(200 V, 60 Hz)

source. It consists of a capacitor of capacitive reactance

30 Ω

, a non-inductive resistor of

40 Ω

and an ideal inductor of inductive reactance

90 Ω

as shown in the figure. The average power dissipated in the circuit is nearly

[

0.77 Mark

]

Q. In a series

L C R

circuit, the inductive reactance

(X_{L})

10 Ω

and the capacitive reactance

(X_{C})

4 Ω

. The resistance

(R)

in the circuit is

6 Ω

. Find the power factor of the circuit.

Q. As given the figure, a series circuit connected across a

200 V, 60 H z

line consists of a capacitor of capacitive reactance

30 Ω

, a non-inductive resistor of

44 Ω

, and a coli of inductive resistance

90 Ω

and resistance

36 Ω

. The power dissipated in the coil is?

Join BYJU'S Learning Program

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

The correct option is B 0.8Given : XL=31 Ω R=8Ω XC=25ΩImpedance of the circuit Z=√R2+(XC−XL)2=√82+(25−31)2=10ΩPower factor of the circuit cosϕ=RZ=810=0.8

The correct option is B 0.8
Given : $X_{L} = 31 Ω$ $R = 8 Ω$ $X_{C} = 25 Ω$
Impedance of the circuit $Z = \sqrt{R^{2} + (X_{C} - X_{L})^{2}} = \sqrt{8^{2} + (25 - 31)^{2}} = 10 Ω$
Power factor of the circuit $cos ϕ = \frac{R}{Z} = \frac{8}{10} = 0.8$