Home
Class 12
PHYSICS
A 20 H inductor is placed in series with...

A 20 H inductor is placed in series with 10 W resistor and an emf of 100 V is suddenly applied to the combination. At t = 1 s from t = 1 s from the start, find the rate at which energy is being stored in the magnetic field around the inductor (givne `e^(-0.5)=0.61`).

Text Solution

Verified by Experts

The rate at which energy is supplied to the inductor is
(dU^(L))/(dt)=+ Li(di0/(dt)Rightarrow(di)/(dt)=+epsilon/Le^(-Rt/L)`
Therefore `P_(L)=(dU_(L)/(dt)=iepsilone^(-t/zeta)`
We now substitute for i to obtain `P_(L)=(zeta^(2))/(R)[e^(-t/zeta]`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|24 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE 1|10 Videos

  • DYNAMICS OF A PARTICLE

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) Level - II (SINGLE OPTION CORRECT TYPE )|31 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATIVE CURRENT

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos

Similar Questions

Explore conceptually related problems

A 5H inductor is placed in series with a 10Omega resistor. An emf of 5V being suddenly applied to the combination. Using these values prove the principle of conservation of energy, for time equal to the time constant.

A 3.56 H inductor is placed in series with a 12.8Omega resistor. An emf of 3.24 V is then suddenly applied across the RL combination. (a) At 0.278 s after the emf is applied what is the rate at which energy is being delivered by the battery? (b) At 0.278 s , at what rate is energy appearing as thermal energy in the resistor? (c) At 0.278 s , at what rate is energy being stored in the magnetic field?

An LR series circuit has L=1 H and R=1 Omega .It is connected across an emf of 2 V .The maximum rate at which energy is stored in the magnetic field is:

A 50 mH inductor is in series with a 10 ohm resistor and a battery with an emf of 25 V. At t = 0 the switch is closed. Find the power dissipated in the resistor

An uncharged capacitor is connected in series with a resistor and a battery. The charging of the capacitor starts at t=0. The rate at which energy stored in the capacitor:-

An uncharged capacitor of capacitance 100 mu F is connected to a battery of emf 20V at t = 0 through a resistance 10 Omega , then (i) the maximum rate at which energy is stored in the capacitor is :

An uncharged capacitor of capacitance 100 mu F is connected to a battery of emf 20V at t = 0 through a resistance 10 Omega , then (i) the maximum rate at which energy is stored in the capacitor is :

An average emf of 20 V is induced in an inductor when the current in it is changed from 2.5 A in one direction to the same valute in the opposite direction in 0.1 s. Find the self inductance of the inductor.

At any instant a current of 2 A is increasing at a rate of 1 A//s through a coil of indcutance 2 H. Find the energy (in SI units) being stored in the inductor per unit time at that instant.

A 1 -k Omega resistor is connected in series with a 10-mH inductor, a 30 V battery and an open switch. At time t= 0 , the switch is suddenly closed. a. What is the maximum current in this circuit and when does it occur? b. What are the voltage drops across the inductor and across the resistor 20 mu s after the switch is closed? c. On a single set of axes, sketch the voltage across the resistor and the voltage across the inductor as functions of time. Also, sketch a graph of the current in the circuit as s function of time.