KCET2016PhysicsElectromagnetic Induction
A wheel with ( 10 ) spokes each of length ' ( L ) ' ( m ) is rotated with a uniform angular velocity ' ( ) ' in a plane normal to the magnetic field 'B'. The emf induced between the axle and the rim of the wheel.
Options
- A( 1 2 N B L² )
- B( 1 2 B L² )
- C( B L² )
- D( N B L² )
Correct answer
B. ( 1 2 B L² )
Step-by-step solution
Given, number of spokes ( =10 ); length of each spoke ( =L ; ) angular velocity ( = ); angular field = B Therefore, emf induced between axle and rim is given as ( E=B l v_ avg = B l v 2 =B L r 2 ) Now, here ( r=L ) ( E= B L² 2 ) Thus, emf induced between the axle and rim of the wheel is ( 1 2 B L² )