Electromagnetic Induction unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
Faraday's law
Why Lenz's law must hold
Rotating loop generator
Three ways to change flux
Displacement current
Self-inductance and back EMF
Induced electric field
LC oscillation
Determining induced current direction
Magnetic flux
Motional EMF
Force opposing motion
Short answer 1. Define or explain: Inductor behavior at t = 0 and t = ∞
3 ptsShort answer 2. Define or explain: Energy in an RL circuit
3 ptsShort answer 3. Define or explain: Inductance
3 ptsShort answer 4. Define or explain: Energy stored in an inductor
3 ptsFree response
10 ptsTwo long horizontal frictionless rails a distance L = 0.40 m apart lie in a uniform vertical magnetic field of magnitude B = 0.50 T. A conducting rod of mass m = 0.20 kg lies across the rails, and the circuit is completed by a resistor R = 2.0 Ω. The rod is given an initial speed v₀ = 6.0 m/s along the rails and then released.
Determine the initial emf and the initial current, and state the direction of the magnetic force on the rod.
Determine the initial magnitude of the rod’s acceleration.
Write the differential equation governing v(t) and show that v(t) = v₀e^(−t/τ) is its solution, identifying τ.
Evaluate τ and the speed at t = 5.0 s.
Determine the total energy dissipated in the resistor and the total distance the rod travels, and explain why the rod never quite stops in finite time.