The L-shaped conductor as shown in figure moves at 10 m/s across a stationary L-shaped conductor in a 0.10 T magnetic field. The two vertices overlap so that the enclosed area is zero at t = 0 . The c

Question

The L-shaped conductor as shown in figure moves at 10 m/s across a stationary L-shaped conductor in a 0.10 T magnetic field. The two vertices overlap so that the enclosed area is zero at t = 0 . The conductor has resistance of 0.010 ohms per meter. What is current (in Amp.) at t = 0.10 sec. (Round off to nearest integer.)

TestHub · Accepted Answer

At time t the overlapping loop is a square of side 2 ​ 10 t ​ m. ϕ = B ( 2 ​ 10 t ​ ) 2 = 50 B t 2 ε = d t d ϕ ​ = 100 Bt = 100 × 0.10 × 0.10 = 1 V Length of the loop = 4 × 2 ​ 10 t ​ = 2 ​ 4 ​ m at t = 0.1 s. R = 0.010 × 2 ​ 4 ​ = 2 ​ 0.04 ​ Ω i = R ε ​ = 0.04 2 ​ ​ = 35.36 ≈ 35 A

Physics - EMI/AC Question with Solution | TestHub

Doubts & Discussion