Two horizontal parallel conducting rods are connected such that a conducting cro

Question

Two horizontal parallel conducting rods are connected such that a conducting crossbar free to slide along them has a constant current I running through it (Figure 1) . The rods are separated by a distance ? and are in an external uniform magnetic field of magnitude B directed out of the screen. The crossbar has a length ? and mass m.

Part A In which direction does the crossbar move?

Part B If there is a coefficient of static friction ?s between rods and crossbar, what is the minimum current I0 necessary for the crossbar to move? For the length ? of the bar use the notation l. Express your answer in terms of some or all of the variables l, B, m, ?s, and the acceleration due to gravity g.

Explanation / Answer

Cross bar will move towards right

--------------------

use from conservation

net grav force = magnetic force

so

F = uo m g = io L B

so

current Io = (uo m g)/(L B)

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