Question

a vertical straight wire 25.0 cm in length carries a current. you do not know either the magnitude of the current or whether the current is moving upward or downward. if there is a uniform horizontal magnetic field of 0.0300 t that points due north, the wire experiences a horizontal magnetic force to the west of 0.0180 n . find the magnitude of the current.

Answer 1

The Magnitude of current is 2.4 A.

Given - length of wire =25cm=0.25m

Uniform magnetic field=  Tesla

Magnetic force = 0.0180 N

Direction of flow of current is unknown.

To compute the magnitude of current we can employ following equation-

$Force = LBi$

where this force is called Lorentz force.

This is net magnitude of force to counteract the magnetic effect as per faraday.

L, B, i represents length of the wire , magnetic field and current factor.

Just substituting the values.

$0.0180=0.0300 *i * 0.25\\\\i=\frac{0.0180}{0.0300 * 0.25}\\ \\i=2.4Ampere$

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