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Please show how you got all your amswers Two horizontal parallel conducting rods

ID: 1433947 • Letter: P

Question

Please show how you got all your amswers

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. 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. In which direction does the crossbar move? If there is a coefficient of static friction Mu_s between rods and crossbar. Give the expression of I_0, minimum current necessary for the crossbar to move? For the length l of the bar use the notation l.

Explanation / Answer

here,

using right hand rule

the crossbar moves towards right

->

coefficient of static friction is us

let the minimum current be I0

frictional force = force due to current carying wire

us*m*g = B * I0 * L

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

the minimum current for the crossbarto move is I0 = us*m*g/(B * L)

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