Force on Electric Current in Magnetic Field (a) What is the force per meter of l

Question

Force on Electric Current in Magnetic Field (a) What is the force per meter of length on a straight wire carrying a 6.40-A current when perpendicular to a 0.90-T uniform magnetic field? (b) What if the angle between the wire and field is 35.0 degree? How much current is flowing in a wire 4.80 m long if the maximum force on it is 0.625 N when placed in a uniform 0.0800-T field? A 240-m length of wire stretches between two towers and carries a 120-A current. Determine the magnitude of the force on the wire due to the Earth's magnetic field of 5.0 times 10^-5 T which makes an angle of 68 degree with the wire. A 2.6-m length of horizontal wire carries a 4.5-A current toward the south. The dip angle of the Earth's magnetic field makes an angle of 41 degree to the wire. Estimate the magnitude of the magnetic force on the wire due to the Earth's magnetic field of 5.5 times 10^-5 T. The magnetic force pet meter on a wire is measured to be only 45% of its maximum possible value. W

Explanation / Answer

1)I= 6.40A

=900

B=0.90T

F=BIL sin

F /L = BI sin

Since =900,

F/L =BI

F/L =0.90 * 6.40

F/L =5.76N

If =350,

F/L =BI Sin 35

F/l= 0.90*6.40 *sin 35

F/l = 3.3038N

2)

F=BIL sin

For maximum force , =900,

F =BIL

I=F/BL

I= 0.625/(0.0800*4.80)

I=1.6276A

3) F = 5 * 10-5 * 120 * 240* sin 68

F= 1.33514N

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