Calculate force on Two long straight conductor carrying current in antiparallel direction please explain ?Either do 'nt answer please?
Answers
The direction of magnetic force is indicated in the figure and is found using the right-hand thumb rule. The direction of magnetic field, as we can see, is downwards due to the first conductor.
From the Ampere’s circuital law, the magnitude of the field due to the first conductor can be given by,
Ba=μ0I12πd
The force on a segment of length L of the conductor 2 due to the conductor 1 can be given as,
F21=I2LB1=μ0I1I22πdL
Similarly, we can calculate the force exerted by the conductor 2 on the conductor 1. We see that, the conductor 1 experiences the same force due to the conductor 2 but the direction is opposite. Thus,
F12 = F21
We also observe that, the currents flowing in the same direction make the conductors attract each other and that showing in the opposite direction makes the conductors repel each other. The magnitude of force acting per unit length can be given as,
fba=μ0IaIb2πd
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