A metal rod is pulled along two frictionless, conducting rails in a magnetic field. The rod and rails have negligible resistance, but are connected to a resistor. The metal rod is 13 cm long, moving with 3.5 m/s in a magnetic field with a strength of 7.1 T, and the resistor is 11 Ω. What is the magnitude of the induced voltage across the rod? (in V) 0.00 (no voltage) 2.26 V 0.29 V 3.23 V 24.85 V

Your physics professor is doing a demo to demonstrate Faraday’s law. He usesa 5m long wire of 10 Ohms total resistance, and he shapes it as a perfect square.Your professor places the loop in a plane perpendicular to a 2 Tesla uniformmagnetic field pointing from above into the plane of the loop. Then yourprofessor re-shaped the wire in five seconds from a square into a perfect circle.The new loop remains in the same plane.a. What is the magnitude of the average induced emf in the wire during thistime?b. Find the direction, and average magnitude of the current in the loopduring the deformation? Explain your reasoning.

A device called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. An idealized model of a railgun is illustrated in (Figure 1). A 1.2 V power supply is connected to two conducting rails. A segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. The wire has a 0.85 mΩ resistance and a mass of 4.4 g . Ignore the resistance of the rails. The power supply is switched on. What is the current?

A bicycle generator rotates at 1,800 rad/s, producing a 15.5 V peak emf. It has a 45-turn, 1.00 by 3.00 cm rectangular coil in a 0.640 T field. It is driven by a 1.48 cm diameter wheel that rolls on the outside rim of the bicycle tire. (a) What is the velocity of the bicycle? (Enter the magnitude in m/s.) m/s (b) What is the maximum emf (in V) of the generator when the bicycle moves at 10.0 m/s, noting that it was 15.5 V under the original conditions? V (c) If the sophisticated generator can vary its own magnetic field, what field strength (in T) will it need at 5.00 m/s to produce a 9.00 V maximum emf?

You've decided to make a magnetic projectile launcher for your science project. An aluminum bar of length l = 5.19 cm slides along metal rails through a magnetic field B = 0.664 T. The switch closes at t = 0 s , while the bar is at rest, and a battery of emf = 16.50 V starts a current flowing around the loop. The battery had internal resistance, r = 0.139 Ω. The resistance of rails and the bar are effectively zero. What is the terminal speed (in m/s) of the bar?

A segment of wire 7.4 cm long is moving at a velocity of 7.08 m/s toward a parallel (much longer) wire which carries a current of 7.55 A. At a particular instant the wire segment is 5.4 cm away from the long, current-carrying wire. What is the induced emf (voltage) between the two ends of the wire segment?     1.47E-05 V     5.88E-06 V     1.18E-05 V     1.91E-05 V

At what speed must a sliding rod move to produce an emf of 1.05 V in a 1.54 T field, given the rod's length is 30.3 cm? m/s