Home
Class 12
PHYSICS
Find the natural frequency of oscillatio...

Find the natural frequency of oscillation of a circuit containing an inductance of 400 mH and a capacity of `40 mu F`. To which wavelength will its response be maximum ? How long will the oscillations last ?

Text Solution

Verified by Experts

`v = ? L = 400 mH = 400 xx 10^(-3) H`,
`C = 40 mu F = 40 xx 10^(6) F, lambda = ?`
`v = (1)/(2 pi sqrt(LC)) = (1)/(2 pi sqrt(400 xx 10^(-3) xx 40 xx 10^(-6)))`
`= (1000)/(8 pi) = 39.8 Hz`
`lambda = (c )/(v) = (3 xx 10^(8))/(39.8) m = 7.5 xx 10^(6) m`
When there is no loss of energy, oscillations will last for infinite time.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Solved Examples (b)|1 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Short Answer Qusetions|2 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    PRADEEP|Exercise Exercise|191 Videos

  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise II Focus multiple choice question|5 Videos

Similar Questions

Explore conceptually related problems

Find the natural frequency of a circuit jcontaininig inductance of 100 mu H and a capacity of 0.1 mu F . To which wavelength will its respone be maximum? How long will the oscillations last ?

Find the natural frequency of a circuit containing inductance of 100 mu H and a capacity of 0.01 mu F . To which wavlength, its response will be maxmum ? For how long will the oscillations continue ?

An oscillator circuit consists of an inductance of 0.5mH and a capacitor of 20muF . The resonant frequency of the circuit is nearly

An oscillator circuit consists of an inductance of 0.5mH and a capacitor of 20muF . The resonant frequency of the circuit is nearly

In the circuit of transistor as an amplifier,tank circuit consists of inductance of 450 mH and capacitance of 9 muF . The frequency of oscillation is nearly

An oscillator circuit contains an inductor 0.05 H and a capacitor of capacity 80 mu F . When the maximum voltage across the capacitor is 200 V, the maximum current (in amperes) in the circuit is

An LC circuit oscillating at natural frequency conssts of an inductor of inductance 30 m H and a capacitor of capacitance 60 muF . The maximum value of instantaneous charge on capacitor in the circuit is 250 mu C . If I is the current in the circuit then answer the following : (i) What is the value of (dI)/(dt) when charge is 150 mu C? (ii) Calculate the value of I when charge is 200 muC . (iii) Find the maximum value of I. (iv) For what value of q I is half of its maximum value ?

In LC oscillation resistance is 100 Omega and inductance and capacitance is 1 H and 10 mu F . Find the half power of frequency .

In an oscillating LC circuit with L = 50 mH and C = 4.0 mu F , the current is initially a maximum.How long will it take before the capaciotr is fully discharged for the first time: