A wire is carrying 3.0 A of current. 4.2 cm of the wire crosses perpendicularly between the two poles of a strong horseshoe magnet. When the current is turned on, the wire experiences 0.47 N of force. What is the strength of the magnetic field?

Respuesta :

Answer:

The strength of the magnetic field is 3.73 T.

Explanation:

We have,

Current in the wire is 3 A

Length of wire, L = 4.2 cm = 0.042 m

A wire crosses perpendicularly between the two poles of a strong horseshoe magnet.

When the current is turned on, the wire experiences 0.47 N of force, F = 0.47 N

It is required to find the strength of the magnetic field. The magnetic force acting on the wire is given by :

[tex]F=iLB\sin\theta[/tex]

B is strength of the magnetic field

[tex]B=\dfrac{F}{iL}\\\\B=\dfrac{0.47}{3\times 0.042}\\\\B=3.73\ T[/tex]

So, the strength of the magnetic field is 3.73 T.