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 L and are in an external uniform magnetic field of magnitude B directed out of the screen. The crossbar has a length L and mass m.
If there is a coefficient of static friction between rods and crossbar, what is the minimum current I necessary for the crossbar to move? For the length L of the bar use the notation l.
Express your answer in terms of some or all of the variables l, B, m, the static friction , and the acceleration due to gravity g.

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 L and are in an external uniform magnetic field of magnitude B directed out of the screen. The crossbar has a length L and mass m. If there is a coefficient of static friction between rods and crossbar, what is the minimum current I necessary for the crossbar to move? For the length L of the bar use the notation l. Express your answer in terms of some or all of the variables l, B, m, the static friction , and the acceleration due to gravity g.

Explanation / Answer

F = us*m*g = Io*L*B

Io = us*m*g/LB

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