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german
2 years ago
13

A wire in a uniform magnetic field of 0.350 T carries a current of 3.50 A. If the magnitude of the magnetic force per unit lengt

h on the wire is 0.278 N/m, what is the angle between the magnetic field and the current?
Physics
1 answer:
Anon25 [30]2 years ago
5 0

Answer:

13.12°

Explanation:

Parameters given:

Magnetic field strength, B = 0.350 T

Current in the wire, I = 3.5 A

Force per unit length, F/L = 0.278 N/m

The force on a wire due to the presence of a magnetic field is given as:

F = I*L*B*sinФ

where Ф = angle between the magnetic field and current

The force per unit length, F/L, will be:

F/L = I*B*sinФ

0.278 = 3.5 * 0.35 * sinФ

=> sinФ = \frac{0.278}{3.5 * 0.35}

sinФ = 0.227

Ф = sin^{-1}(0.227)

Ф = 13.12°

The angle between the magnetic field and the current is 13.12°.

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