Question

A magnetic field has a magnitude of 0.0818 T and is uniform over a circular surface whose radius is 0.174 m. The field i...


A magnetic field has a magnitude of 0.0818 T and is uniform over a circular surface whose radius is 0.174 m. The field is oriented at an angle of  = 26.3o with respect to the normal to the surface. What is the magnetic flux through the surface?

Answer

Given :

Magnitude of magnetic field, B = 0.0818 T

Radius of circular surface, r = 0.174 m

Angle between magnetic field and circular surface, θ = 26.3o

Magnetic flux passing through any area is given by the relation:

Physics homework question answer, step 2, image 1

Here A is area of the surface.

Area of the circular surface,A = πr2

Put this in equation (1).

Physics homework question answer, step 3, image 1

 

Substitute the suitable values in the equation (2).

Physics homework question answer, step 4, image 1

Magnetic flux passing through the surface is 6.97 x 10-3 T m2

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