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.

If there is a coefficient of static friction ?s between rods and crossbar, what is the minimum current I0necessary 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

Here

us is the coefficient of static friction

let the minimum current in the loop is I0

as maximum coefficient friction = magnetic force applied

us * m * g = B *I0 * L

I0 = us * m * g/(B*L)

the minimum current I0necessary for the crossbar to move is us * m * g/(B*L)

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