Home
Class 12
PHYSICS
A charged 30 mu F capacitor is connected...

A charged 30 `mu F` capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit ?

A

`1.1 xx 10^3 `rad/s

B

`2.1 xx 10^2 `rad/s

C

`3.1 xx 10^3` rad/s

D

`4.1 xx 10^3` rad/s

Text Solution

Verified by Experts

The correct Answer is:
A
Here , `C = 30muF = 30 xx 10^(-6)F`
`L = 27mH = 27 xx 10^(-3) H`
`omega = (1)/(sqrt(LC)) = (1)/(sqrt(27 xx 10^(-3) xx 30 xx 10^(-6) ) = (10^4)/(9) = 1.1 xx 10^3 rad//s `
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

    MTG GUIDE|Exercise NEET CAFE TOPICWISE PRATICE QUESTIONS (SERIES LR AND CR CIRCUITS)|1 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

    MTG GUIDE|Exercise NEET CAFE TOPICWISE PRATICE QUESTIONS (POWER IN AC CIRCUITS)|13 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

    MTG GUIDE|Exercise NEET CAFE TOPICWISE PRATICE QUESTIONS (AC CIRCUITS CONTAINING RESISTOR, INDUCTOR OR CAPACITOR)|3 Videos

  • DUAL NATURE OF MATTER AND RADIATION

    MTG GUIDE|Exercise AIPMT/ NEET MCQs|30 Videos

  • ELECTROMAGNETIC WAVES

    MTG GUIDE|Exercise AIPMT/NEET(MCQs)|15 Videos

Similar Questions

Explore conceptually related problems

A charged 30 muF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit ?

A charged 30 mu F capacitor is connected to a 27 mH inductor. What is the frequency of free oscilolations of the circuit ?

Knowledge Check

  • When a capacitor C is charged to a certain potential and connected to an inductor L, then frequency of energy oscillation is given by

    A
    `(1)/(2pi sqrt(LC))`
    B
    `(1)/(sqrt(LC))`
    C
    `(2pi)/(sqrt(LC))`
    D
    `(1)/(2pi)sqrt((L)/(C))`

  • A circuit containing a 20 Omega resistor and 0.1 mu F capacitor in series is connected to 320 V ac supply of angular frequency 100 " rad " s^(-1) . The impedance of the circuit is

    A
    `10^(5)Omega`
    B
    `10^(4)Omega`
    C
    `10^(6)Omega`
    D
    `10^(10)Omega`

  • A capacitor of capacitance 25muF is charged to 300V . It is then connected across a 10mH inductor. The resistance in the circuit is negligible. a. Find the frequency of oscillation of the circuit. b. Find the potential difference across capacitor and magnitude of circuit current 1.2ms after the inductor and capacitor are connected. c. Find the magnetic energy and electric energy at t=0 and t=1.2ms .

    A
    `318.3Hz` `221.2`volt , `10.13A`
    B
    `318.3Hz` `221.2`volt , `7.13A`
    C
    `328.3Hz` `221.2`volt , `10.13A`
    D
    `118.3Hz` `221.2`volt , `10.13A`

    • Similar Questions

    Explore conceptually related problems

    A charged 10 micro farad capacitor is connected to a 81 mH inductor. What is the angular frequency of free oscillations of the circuit?

    A charged 8mF capacitor having charge 5mC is connected to a 5mH inductor. What is : (i) the frequency of current oscillations?

    A charged 8mF capacitor having charge 5mC is connected to a 5mH inductor. What is : (ii) the frequency of electrical energy oscillations in the capacitor?

    A charged 8mF capacitor having charge 5mC is connected to a 5mH inductor. What is : (iii) the maximum current in the inductor?

    A charged 8mF capacitor having charge 5mC is connected to a 5mH inductor. What is : iv) the magnetic energy in the inductor at the instant when charge on capacitor is 4mC?

    Home
    Profile