Problem 86
Page 623
Section: General Problems
Chapter 21: Electromagnetic Induction and Faraday’s Law
Given information
It is given that:
The Number of turns in the coil
The required diameter of the coil
The coil is placed between 2 poles of electromagnet
Induced is
Step-by-step explanation
The coil is placed between the poles of electromagnet , hence the change in magnetic field of the electromagnet changes the flux linked with the coil and hence induces an emf in the coil as per Faraday's Law of electromagnetic induction.
The induced emf in the coil is connected to the change in magnetic flux and the no of turns of the coil by the formula:
( we are concerned only about the magnitude of the induced emf)
The magnetic flux is defined as the number of magnetic field lines passing through a given closed surface.
It provides the measurement of the total magnetic field that passes through a given surface area
Mathematically :
, where represents the area of the coil
Hence rate of change of magnetic flux is