JEE Main · PhysicsHard
A metal disc of radius $R$ rotates with angular velocity $\omega$ in a uniform magnetic field $B$ perpendicular to its plane. The potential difference between the center and the rim is?
- A.$B \omega R^2$
- B.$0.5 B \omega R^2$
- C.$0.25 B \omega R^2$
- D.$2 B \omega R^2$
Show correct answer & step-by-step solution
Correct answer: B — $0.5 B \omega R^2$
Solution
The disc can be considered as a collection of radial conducting rods. The potential difference is the integral of from to , where , resulting in .
Attempt this question & track your score
Sign up free to answer, get instant scoring, and let SolveGini track which Physics topics you need to revise.
Attempt & Track Free →More Electromagnetic Induction practice questions
- A magnetic flux of 500 Weber passes through a coil of 10 turns in 0.1 seconds. What is the magnitude of the induced elec
- Lenz's law is a consequence of the law of conservation of which physical quantity?
- A conducting rod of length 1 meter moves with a velocity of 2 meters per second perpendicular to a magnetic field of 0.5
- The self-inductance of a coil is 2 Henry. If the current in the coil changes at a rate of 5 Amperes per second, what is
- Which of the following units is equivalent to the Weber?
- A circular coil of radius 10 cm and 500 turns is placed in a uniform magnetic field of 0.5 T such that the plane of the
- A metal rod of length 1 meter rotates about one end with an angular velocity of 20 radians per second in a uniform magne
- A square loop of side 10 cm and resistance 0.5 ohm is moved out of a magnetic field of 1 Tesla at a constant velocity of
- Two coils have a mutual inductance of 0.005 Henry. If the current in the primary coil changes from 5 Ampere to 2 Ampere
- A solenoid of length 0.5 m has 1000 turns and across-sectional area of 10 square centimeters. What is the self-inductanc
- A square loop of side length Land resistance R is placed in a time-varying magnetic field B = B0 sin(omega t) directed p
- A conducting rod of length L rotates with angular velocity omega about one end in a uniform magnetic field B perpendicul