A rectangular loop of wire with dimensions 1.80 cm by 9.00 cm and resistance 0.800 Ω is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude 2.60 T and is directed into the plane of (Figure 1) .
a) At the instant when the speed of the loop is 3.00 m/s and it is still partially in the field region, what is the magnitude of the force that the magnetic field exerts on the loop?
b) What is the direction of the force that the magnetic field exerts on the loop?

A rectangular loop of wire with dimensions 180 cm by 900 cm and resistance 0800 Ω is being pulled to the right out of a region of uniform magnetic field The mag class=

Respuesta :

(a) The magnitude of the force that the magnetic field exerts on the loop is 0.042 N.

(b) The direction of the force that the magnetic field exerts on the loop will be out of the plane.

Magnetic force exerted on the loop

F = BIL

where;

  • I is current in the loop
  • L is length of the loop

emf = BVb

where;

  • b is breadth of the loop
  • V is velocity
  • B is magnetic field

emf = 2.6 x 3 x 0.018 = 0.1404 V

Current in the loop, I = emf/R = 0.1404/0.8 = 0.18 A

Magnetic force

F = BIL

where;

  • L is length of the loop

F = 2.6 x 0.18 x 0.09 = 0.042 N

Direction of the force

The direction of the force that the magnetic field exerts on the loop will be out of the plane.

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