Problem 3: The L-shaped conductor in Fig. 3 moves at v = 10 m/s across and touches a stationary L-shaped conductor in a B = 0.1 T magnetic field. The two vertices overlap, so that the enclosed area is zero, at t = 0 s. The conductor has a resistance of r = 0.01 ohms per meter. Find the induced emf and current at t = 0.1 s. a) Find the formula for the side of the loop, x, as a function of time. Note that the rate with which x is growing is equal not to the full speed of the conductor, u, but to the horizontal projection of its velocity. Assuming that the loop stays a square at all times, derive the formula for the magnetic flux through it as a function of t. ● ● ● ● ● ● ● ● ● c) Compute the numerical values of & and I at t = 0.1 s. (Partial answer: I = 35 A) ● stationary ↓ ● ● ● ● ● ● ● B=QIT ● 45° 15=10 m FIG. 3: The scheme for Problem 2 b) Derive the formula for the induced emf, E = |d, and the induced current I in the loop. Which formula do you need to use for the resistance of the loop?

Problem 3: The L-shaped conductor in Fig. 3 moves at v = 10 m/s across and touches a stationary L-shaped conductor in a B = 0.1 T magnetic field. The two vertices overlap, so that the enclosed area is zero, at t = 0 s. The conductor has a resistance of r = 0.01 ohms per meter. Find the induced emf and current at t = 0.1 s. a) Find the formula for the side of the loop, x, as a function of time. Note that the rate with which x is growing is equal not to the full speed of the conductor, u, but to the horizontal projection of its velocity. Assuming that the loop stays a square at all times, derive the formula for the magnetic flux through it as a function of t. ● ● ● ● ● ● ● ● ● c) Compute the numerical values of & and I at t = 0.1 s. (Partial answer: I = 35 A) ● stationary ↓ ● ● ● ● ● ● ● B=QIT ● 45° 15=10 m FIG. 3: The scheme for Problem 2 b) Derive the formula for the induced emf, E = |d, and the induced current I in the loop. Which formula do you need to use for the resistance of the loop?