NTA Abhyas JEE Main2020PhysicsElectromagnetic InductionPractice
A uniform metal rod is moving with a uniform velocity v parallel to a long straight wire carrying a current I . The rod is perpendicular to the wire with its ends at distances r 1 and r 2 (with r 2 > r 1 ) from it. The E.M.F. induced in the rod at that instant is
Options
- Azero
- Bμ 0 Iv 2 π ln r 2 r 1
- Cμ 0 Iv 2 π ln r 1 r 2
- Dμ 0 Iv 4 π 1 - r 1 r 2
Correct answer
B. μ 0 Iv 2 π ln r 2 r 1
Step-by-step solution
B = μ 0 i 2 πx dε =   Bv dx ε = μ 0 iv 2 π ∫ r 2 r 1 dx x = μ 0 iv 2 π ln r 2 r 1