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An equilateral triangle 8.0cmon a side is in a 5.0mT uniform magnetic field. The magnetic flux through the triangle is 6.0Wb. What is the angle between the magnetic field and an axis perpendicular to the plane of the triangle?

Short Answer

Expert verified

The angle between the magnetic field and an axis perpendicular to the plane of the triangle,=64

Step by step solution

01

The magnetic flux 

A magnetic flux seems to be the magnitude of magnetic field which passes through some kind of ring of area A. If the magnetic field lies straight towards the plane's normal, This magnetic flux was provided by

m=BA 1

The magnetic flux, however, would be supplied by if the magnetic field forms an angular position only with planes.

m=BAcos 2

02

The area of the triangle

The entire area of a triangle is equal to half of it's own base times its height. The Pythagoras equation is used to compute the altitude.

h=(8cm)2(4cm)2=43cm

Therefore the area of a triangle,

A=12bh=12(0.08m)43102m=2.77103m2

Then align the equation 2for localid="1648903666492" to obtain

=cos1mBA (3)

03

The angle θ

Then put the data for A,mand Bto the equation(3) to obtain role="math" localid="1648903903568"

=cos1mBA

=cos16106Wb5103T2.77103m2

=64

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