A 0.676 m long section of cable carrying current to a car starter motor makes an angle of 57.7º with the Earth’s 5.29 x 10^−5T field. What is the current when the wire experiences a force of 6.53 x 10^−3 N?

Respuesta :

Answer:

The current in the wire under the influence of the force is 216.033 A

Solution:

According to the question:

Length of the wire, l = 0.676 m

[tex]\theta = 57.7^{\circ}[/tex]

Magnetic field of the Earth, [tex]B_{E} = 5.29\times 10^{- 5} T[/tex]

Forces experienced by the wire, [tex]F_{m} = 6.53\times 10^{-3} N[/tex]

Also, we know that the force in a magnetic field is given by:

[tex]F_{m} = IB_{E}lsin\theta[/tex]

[tex]I = \frac{F_{m}}{B_{E}lsin\theta}[/tex]

[tex]I = \frac{6.53\times 10^{-3}}{5.29\times 10^{- 5}\times 0.676sin57.7^{\circ}[/tex]

I = 216.033 A