Home
Class 12
PHYSICS
In a R-L-C series circuit shown in readi...

In a `R-L-C` series circuit shown in readings of voltmeters `V_1` and `V_2` are `100V` and `120 V`.
Choose the corredct statement(s).
.

A

Voltage across resistor, inductor and capacitor are `50 V, 86.6 V` and `206.6 V` respectively

B

Voltage across resistor, inductor and capacitor are `10 V, 90 V` and `30 V` respectively

C

Power factor of the circuit is `5/13`

D

Circuit is capacitive in nature

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`sqrt V_R^2+V_L^2=100`....(i)
`V_L~V_C=120`…(ii)
`sqrt(V_R^2+(V_L~V_C)^2)=130`….(iii)
Solving these three equations, we get
`V_R=50V,V_L=86.6V` and `V_C=206.6V`
Power factor `=cosphi=R/Z=V_R/V=50/130=5/13`
Since `V_CgtV_L`, circuit is capacitive in nature.
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level 2 Comprehension|6 Videos

  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level 2 Subjective|10 Videos

  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level- 2 Single Correct|18 Videos

  • ATOMS

    DC PANDEY|Exercise MEDICAL ENTRANCES GALLERY|42 Videos

Similar Questions

Explore conceptually related problems

In an RLC series circuit shown in fig. the reading of voltmeters (V_1) and (V_2) are 100 V and 200 V respectively. The source voltage is 130 V. for this situation, mark out the correct statements (s).

In the circuit shown, the readings of voltmeters V_(1), V_(2) and V_(3) are given by

In the following circuit reading of voltmeter V is

In the circuit shown below. The reading of the voltmeter V is

In the given circuit the readings of the voltmeter V_(1) and the ammeter A are .

In the series LCR circuit as shown in the figure, the voltmeter V and ammeter A reading are

In the series LCR circuit as shown in the figure, the voltmeter V and ammeter A reading are

In an LCR series circuit, the reading of ideal voltmeters V_(1) and V_(2) are 20sqrt(2) volt and 15 volts respectively as shown in the figure (the given circuit in inductive in nature). Then

In the given circuit the reading of voltmeters V_1 andV_2 are 300 volt each . The reading of the voltmeter V_3 and ammeter A are respectively

[" 37.In the shown circuit reading of voltmeter "V_(1)" and "V_(2)" are "300" volt each then choose correct "],[" option/options if reading of ammeter is "10A" : "],[qquad [v_(3)," O "],[" 1) "V_(2)=300V," 2) "V_(2)=500V]]

Knowledge Check

  • In an RLC series circuit shown in fig. the reading of voltmeters (V_1) and (V_2) are 100 V and 200 V respectively. The source voltage is 130 V. for this situation, mark out the correct statements (s).

    A
    Voltage across resistor inductor and capacitor are 50 V +`50 sqrt(3)V`, and` 120 + 50 sqrt(3)` V, respectively
    B
    Voltage across resistor inductor and capacitor are 50 V +`50 sqrt(3)V`, and `120-50 sqrt(3) V`, respectively
    C
    Power factor of the corcuit is `5/13`
    D
    The circuit is capactive in nature

  • In the given circuit the readings of the voltmeter V_(1) and the ammeter A are .

    A
    `220 V, 2.2A`
    B
    `110 V, 1.1A`
    C
    `220 V, 1.1A`
    D
    `110 V, 2.2A`

  • In an LCR series circuit, the reading of ideal voltmeters V_(1) and V_(2) are 20sqrt(2) volt and 15 volts respectively as shown in the figure (the given circuit in inductive in nature). Then

    A
    The voltage across resistor is 20 volts
    B
    The voltage across inductor is 20 volts
    C
    The voltage across capacitor is 5 volts
    D
    The power factor of the circuit is `4/5`