Consider a circuit placed in a magnetic field as shown below. The conductor at t

Question

Consider a circuit placed in a magnetic field as shown below. The conductor at the right end of the circuit is freely-moving bar. The magnetic field is directed out of the paper and has a strength is 3.6 T. The resistor has a resistance of 2.1 ?. The bar at the right end of the circuit is 0.37 m long and is moved toward the resistor at a speed of 2.0 m/s. (a) Find the induced emf (in V): (b) Find the current in the resistor (in A): (c) Find the power dissipated in the resistor (in W): (d) Find the force required to move the bar (in N):

Explanation / Answer

(a) induced emf = B L v = 3.6 * 0.37 * 2.0 = 2.664 volts

(b) current = emf / resistance = 2.664 / 2.1 = 1.27 A

(c) power = emf * current = 2.664 * 1.27 = 3.38 W

(d) force = L * current * mag field = 0.37 * 1.27 * 3.6 = 1.69 N

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