Question

A 2.0-m-long wire carries a current of 7.4 A and is immersed within a uniform magnetic field (B). When this wire lies along the x-axis, a magnetic force (F) is exerted. What is the relationship between (F), (B), the current, and the length of the wire?

a) (F = B . I . L)
b) (F = B/I . L)
c) (F = B . I / L)
d) (F = I . L / B)

Answer 1

The correct relationship between the magnetic force, magnetic field, current, and wire length is given by the equation F = IBL when the field is perpendicular to the wire carrying the current.

Step-by-step explanation:

The relationship between the magnetic force (F), the magnetic field (B), the current (I), and the length of the wire (L) is described by the equation F = IBL sin θ. When the wire lies along the x-axis, and if we assume that the magnetic field is oriented in such a way that it is perpendicular to the current, then θ = 90° and sin θ = 1. This simplifies the relationship to F = IBL, which matches option a). The magnitude of the force depends on these three variables when the current is in a direction perpendicular to the magnetic field.