AIIMS2005PhysicsElectromagnetic Induction
A conducting ring of radius 1 meter is placed in a uniform magnetic field B of 0.01 tesla oscillating with frequency 100 ~Hz with its plane at right angle to B . What will be the induced electric field?
Options
- Avolts / m
- B2 volts / m
- C10 volts / m
- D62 volts / m .
Correct answer
B. 2 volts / m
Step-by-step solution
As a constant magnetic field conducting ring oscillates with a frequency of 100 ~Hz . i.e. T= 1 100 ~s , for T 2 , it goes up to B The corresponding frequency is 200 ~Hz . aligned & Induced emf = change in flux time & = 2 B A T =2 B A f & = r^2 2 0.01 200 as r=1 ~m & = 1^2 2 0.01 200=4 V . aligned Non-electrostatic induced electric field along the circle, E= 1 2 r ( r^2 d B d t )= e 2 r = 4 2 r =2 ~V / m .