A rectangular wire loop of sides and with a small cut is moving out of a region of the uniform magnetic field of magnitude directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is in a direction normal to the (a) longer side and (b) shorter side of the loop? For how long does the induced voltage last in each case?
Step 1: Given
Length of the loop,
Width of the loop,
The magnetic field of the loop,
The velocity of the loop,
Step 2: Formula used
Emf is in the loop,
where, is the strength of the magnetic field, length of the object and is the velocity.
Step 3: Solution
When loop is travelling in the normal direction to its length,
because it is moving along the normal to the length of the rectangle.
EMF developed in the loop,
Time taken to travel along the length,
When loops is travelling along the normal to its breadth,
because it is moving along the normal to the breadth of the rectangle.
EMF developing in the loop,
Time taken to travel along the breadth,
Hence, the EMFs are and and time and respectively.