Question

A 20 cm-long wire carrying a current of 6 A is immersed in a uniform magnetic field of 3 T. If the magnetic field is oriented at an angle of 30° to the wire, what is the magnitude of the force that the wire will experience?

Answer 1

the magnitude of the force that the wire will experience = 1.8 N

Step-by-step explanation:

The force on a current carrying wire placed in a magnetic field is :

F = Idl × B

where:

I = current flowing through the wire

dl = length of the wire

B = magnetic field

We can equally say that :

`|F| = IdlBsin \theta`

where : sin θ is the angle at which the orientation from the magnetic field to the wire occurs = 30°

Then;

`|F| = B\ I \ L \ sin \theta`

Given that:

L = 20 cm = 0.2 m

I = 6 A

B = 3 T

θ = 30°

Then:

F = 3 × 6 × 0.2 sin 30°

F = 1.8 N

Therefore, the magnitude of the force that the wire will experience = 1.8 N