The force exerted on a rectantangular loop placed in a uniform magnetic field ca

Question

The force exerted on a rectantangular loop placed in 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 5.00 A is ran through the loop, what will the force per tesla on the loop be?

c) If a 2.00 N force is measured when the 5.00 A current runs through the loop, what is the magnitude of the magnetic field?

Explanation / Answer

force on a loop inside a magnetic field B is

F= Bil Sin theta and this force is per unit length

b) given current i= 5 A F/Bl = i = 5 N/T

c) if i = 5 A and B= ?, F = 2 N

then b= F/i = 2/5 = 0.4 T

a) if the current in the coil is moving towards left then B will be into the plane

  if the current in the coil is moving towards right then B will be out of the plane

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