Between the poles of a powerful magnet is a cylindrical uniform magnetic field w

Question

Between the poles of a powerful magnet is a cylindrical uniform magnetic field with a diameter of 2.90 cm and a strength of 1.30 T . A wire carries a current through the center of the field at an angle of 65 to the magnetic field lines.

If the wire experiences a magnetic force of 0.0514 N , what is the current flowing in it

Between the poles of a powerful magnet is a cylindrical uniform magnetic field with a diameter of 2.90 cm and a strength of 1.30 T . A wire carries a current through the center of the field at an angle of 65 to the magnetic field lines.

If the wire experiences a magnetic force of 0.0514 N , what is the current flowing in it

Explanation / Answer

Magnetic force is given by:

F = IrB sin(th)

Rearranging in terms of current I, we have:

I = F/rBsin(th)

= 0.0514/( (0.029/2) * 1.30 *sin65)

= 3.0 A

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