4. The force exerted on a rectantangular loop placed n a uniform magnetic field

Question

4. The force exerted on a rectantangular loop placed n a uniform magnetic field can be used to measure the strength of the field. The figure below shows an example of this; the field is uniform and the plane of the loop is perpendicular to the field. a. What is the direction of the net magnetic force on the loop? b. If a current of 15 A is ran through the loop, and the magnetic field strength is 1.5 nT, what will the net force on the loop be? c. If a 2.00 N force is measured when the 3.00 A current runs through the loop, what is the magnitude of the magnetic field?

Explanation / Answer

(a) force exerted will be from top to bottom

(b) I = 15 A, B = 1.5 * 10^-9 T

Force = B I L = 1.5 * 10^-9 * 15 * 0.2

= 4.5 * 10^-9 N

(c) F = B I L

2 = B * 3 * 0.2

B = 3.333 T

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