English
Karnataka Board PUCPUC Science Class 11

What Are the Values of the Self-induced Emf in the Circuit of the Previous Problem at the Times Indicated Therein?

Advertisements
Advertisements

Question

What are the values of the self-induced emf in the circuit of the previous problem at the times indicated therein?

Sum
Advertisements

Solution

Given:-

Self-inductance, L = 1 H

For an inductor of self-inductance L, the emf induced is given by

`e = L(di)/(dt)`


(a) At t = 100 ms,

`(di)/(dt)=0.27"A/s"`

∴ Induced emf, `e = L(di)/(dt)=1xx0.27=0.27 V`


(b) At t = 200 ms,

`(di)/(dt)=0.036"A/s"`

∴ Induced emf `= L(di)/(dt)=1xx0.036=0.036V`


(c) At t = 1 s,

`(di)/(dt)=4.1xx10^-9"A/s"`

∴ Induced emf `=L(di)/(dt)=4.1xx10^-9V`

shaalaa.com
  Is there an error in this question or solution?
Chapter 38: Electromagnetic Induction - Exercises [Page 312]

APPEARS IN

HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 38 Electromagnetic Induction
Exercises | Q 76 | Page 312

RELATED QUESTIONS

Explain the phenomenon of self induction


Define self-inductance. Write its SI units.


The currents flowing in the two coils of self-inductance L1 = 16 mH and L2 = 12 mH are increasing at the same rate. If the power supplied to the two coil is equal, find the ratio of the energies stored in the two coils at a given instant ?


A plot of magnetic flux (Φ) versus current (I) is shown in the figure for two inductors A and Β. Which of the two has larger value of self inductance?


Two solenoids have identical geometrical construction but one is made of thick wire and the other of thin wire. Which of the following quantities are different for the two solenoids?

(a) self-inductance
(b) rate of Joule heating if the same current goes through them
(c) magnetic field energy if the same current goes through them
(d) time constant if one solenoid is connected to one battery and the other is connected to another battery.


An inductor of inductance 5.0 H, having a negligible resistance, is connected in series with a 100 Ω resistor and a battery of emf 2.0 V. Find the potential difference across the resistor 20 ms after the circuit is switched on.


Consider a small cube of volume 1 mm3 at the centre of a circular loop of radius 10 cm carrying a current of 4 A. Find the magnetic energy stored inside the cube.


A coil of self-inductance 3 H carries a steady current of 2 A. What is the energy stored in the magnetic field of the coil? 


Define self-inductance.


Two rods of same material and volume having circular cross-section are subjected to tension T. Within the elastic limit, same force is applied to both the rods. Diameter of the first rod is half of the second rod, then the extensions of first rod to second rod will be in the ratio


The magnetic potential energy stored in a certain inductor is 15 mJ, when the current in the inductor is 40 mA. This inductor is of inductance ____________.


Consider a solenoid carrying supplied by a source with a constant emf containing iron core inside it. When the core is pulled out of the solenoid, the change in current will ______.


A graph of magnetic flux `phi` versus current (I) is shown for four inductors A, B, C, D. Smaller value of self inductance is for inductor ____________.


An air-cored solenoid with length 30 cm, area of cross-section 25 cm2 and number of turns 800, carries a current of 2.5 A. The current is suddenly switched off in a brief time of 10-3s. Ignoring the variation in magnetic field near the ends of the solenoid, the average back emf induced across the ends of the open switch in the circuit would be ______.


If both the number of turns and core length of an inductor is doubled keeping other factors constant, then its self-inductance will be ______.


Energy needed to establish an alternating current I in a coil of self-inductance L is


An average induced emf of 0.20 V appears in a coil when the current in it is changed from 5A in one direction to 5A in the opposite direction in 0.20 sec. Find the self induction of the coil.


The self inductance L of a solenoid of length l and area of cross-section A, with a fixed number of turns N increases as ______.


A current of 1A flows through a coil when it is connected across a DC battery of 100V. If the DC battery is replaced by an AC source of 100 V and angular frequency of 100 rad s-1, the current reduces to 0.5 A. Find

  1. the impedance of the circuit.
  2. self-inductance of coil.
  3. Phase difference between the voltage and the current.

The current flowing through an inductor of self-inductance L is continuously increasing at constant rate. The variation of induced e.m.f. (e) verses dI/dt is shown graphically by figure


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×