a zero-resistance rod sliding to the right on two zero-resistance rails is separ
ID: 2059540 • Letter: A
Question
a zero-resistance rod sliding to the right on two zero-resistance rails is separated by the distance L = 0.51 m. The rails are connected by a 11.7-? resistor, and the entire system is in a uniform magnetic field with a magnitude of 0.750 T.
a) Find the force that must be exerted on the rod to maintain a constant current of 0.125 A in the resistor.
mN
(b) What is the rate of energy dissipation in the resistor?
mW
Explanation / Answer
a) force acting on rod = B * i * L E = B*L*v i = E / R = B*L*v / R .125 = .75 * .51 * v / 11.7 ==> v = .125 * 11.7 / (.75 * .51) v = 3.82352941 m/s F = B * i * L = (B*L)^2 * v / R F = (.75 * .51)^2 * 3.82352941 / 11.7 = 0.0478125 N force exerted on rod = 47.8125 mN b) power dissipated = E * i = (B*L*v)^2 / R P = (.75 * .51 *3.82352941)^2 / 11.7 P = 0.1828125 W power dissipated in resistor = 182.8125 mW
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