Problem 82
Page 623
Section: General Problems
Chapter 21: Electromagnetic Induction and Faraday’s Law
Given information
The following things are given in the question:
Two resistance less rails rest apart on a ramp .
They are joined at the bottom by a resistor.
At the top a copper bar of mass is laid across the rails.
Resistance of the copper bar is ignored
A vertical magnetic field of is present.
The bar slides frictionlessly down the rails
Step-by-step explanation
Due to the motion of copper bar down the rail in the specified magnetic field an emf is induced called motional emf
An emf induced by the motion of the conductor across the magnetic field is called motional emf force.
The equation is given by and equation is true as long as the velocity, field, and length are mutually perpendicular.
Since the component of the velocity of the bar that is perpendicular to the magnetic field is
here, the motional emf is
Induced Current , motional emf and Resistance is connected through the equation :
( ohms law)