a magnetic field is used to suspend a wire of mass 0.05 kg and length 0.18 m . the wire is carrying a current of 13 a . what minimum magnetic-field magnitude is needed to balance the pull of gravity?

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0.209T minimum magnetic-field magnitude is needed to balance the pull of gravity.

The weight of the mass suspended is equal the force produced by the current  carrying conductor in the magnetic field and this is the force needed to balance the pull of gravity

Fm = mg = BIL................................... Equation 1

Make B the subject of the equation

B = mg/IL.................................. Equation 2

Where B = magnetic Field, m = mass, g = acceleration due to gravity, I = Current, L = Length of the wire.

Given: m = 0.05 kg, I = 13 A, L = 0.18 m,

Constant: g = 9.8 m/s²

Substitute into equation 2

B = (0.05×9.8)/(13×0.18)

B = 0.49/2.34

B = 0.209T

What is magnetic field?

The area in which the force of magnetism acts around a magnetic material or a moving electric charge is known as the magnetic field.

In the vicinity of a magnet, an electric current, or a shifting electric field, there is a vector field called a magnetic field where magnetic forces can be seen. Electric charges in motion and the intrinsic magnetic moments of elementary particles connected to the fundamental quantum characteristic known as spin create a magnetic field. As parts of the electromagnetic force, one of the four fundamental forces of nature, magnetic field and electric field are interdependent.

To learn more about magnetic field, refer;

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