Home
Class 12
PHYSICS
What is the value of inductance L for wh...

What is the value of inductance L for which the current is maximum in a series LCR circuit with `C=10 mu F` and `omega =1000 s^(-1)` ?

A

1 mH

B

cannot be calculated unless R is known

C

10 mH

D

100 mH

Text Solution

Verified by Experts

The correct Answer is:
D
In series LCR, current is maximum at resonance.
`therefore` Resonant frequency `omega = (1)/(sqrt(LC))`
`therefore omega^(2)=(1)/(LC)` or, `L=(1)/(omega^(2)C)`
Given `omega = 1000 s^(-1)` and `C=10 mu F`
`therefore L=(1)/(1000xx1000xx10xx10^(-6))=0.1 H=100 mH`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    MTG-WBJEE|Exercise WB JEE WORKOUT (Category 2 : Single Option Correct Type)|15 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    MTG-WBJEE|Exercise WB JEE WORKOUT (Category 3: One or More than one Option)|10 Videos

  • CURRENT ELECTRICITY

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|21 Videos

  • ELECTROMAGNETIC WAVES

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|10 Videos

Similar Questions

Explore conceptually related problems

Obtain the resonant frequency and Q factor of a series LCR circuit with L = 3.0 H, C = 27 mu F and R = 7.4 ohm.

What is the value of inductance L for which the current is a maximum in a series LCR circuit with C = 10muF and omega=1000 s^(-1) ?

Knowledge Check

  • What is the value of inductance L for which the current is maximum in a series LCR circuit with C = 10 muF and omega = 1000 s^(-1) ?

    A
    1 mH
    B
    Cannot be calculated unless R is know
    C
    10 mH
    D
    100 mH

  • What is the value of inductance L for which the current is a maximum in a series LCR circuit with C = 10 mu F and omega= 1000s^(-1) .

    A
    10 mH
    B
    100 mH
    C
    1 mH
    D
    Cannot be calculated unless R is known

  • What is the value of inductance L for which the current is a maximum in a series LCR circuit with C = 10muF and omega=1000 s^(-1) ?

    A
    100 mH
    B
    1 mH
    C
    Cannot be calculated unless R is known
    D
    10 mH

    • Similar Questions

    Explore conceptually related problems

    What is the value of inductance L for which the current is a maximum in series LCR circuit with C=10 muF and omega=1000s^(-1) ?

    The current in series LCR circuit will be the maximum when omega is

    At resonance the peak value of current in a series LCR circuit is

    The resonant frequency of a series LCR circuit with L=2.0 H,C =32 muF and R=10 Omega is

    Current in LCR ac circuit will be maximum when omega is

    Home
    Profile