The figure below shows three edge views of a square loop with sides of length ℓ = 0.420 m in a magnetic field of magnitude 2.25 T. Calculate the magnetic flux (in Wb) through the loop oriented perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field.

Three figures show an x y coordinate plane with the +x-axis pointing to the right and the +y-axis pointing upward. A magnetic field labeled vector B points to the right in the positive x-direction. In each figure, a bar of length ℓ is shown in different orientations.
In the first figure, the bar is oriented vertically, perpendicular to the magnetic field.
In the second figure, the bar is tilted so that the top end is further right than the bottom end, making a 60.0° angle with the magnetic field.
In the third figure, the bar is oriented horizontally, parallel to the magnetic field.
HINT
(a)
perpendicular to the magnetic field
Wb
(b)
60.0° from the magnetic field
Wb
(c)
parallel to the magnetic field
Wb

Respuesta :

The magnetic flux of the following options are; 0.072, 0.062, 0.

How to calculate the magnetic flux?

The magnetic flux can be calculated by the given formula;

Flux = magnetic field B x area A x cos(angle between B and normal of A)

Given;

Magnetic field B = 2.25 T

The length ℓ = 0.420 m

Flux = 2.25 * 0.42^2 * cos(angle)

Flux = 0.072 * cos(angle)

a) The perpendicular to the magnetic field Wb

So, angle = 0°, flux = 0.072 Wb

b) 60.0° from the magnetic field Wb

So, angle = 30°,

flux = 0.072*cos(30) = 0.062 Wb.

c) parallel to the magnetic field Wb

So, angle = 90°, flux = 0

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