A 2.0 T uniform magnetic field makes an angle of 30 ° with the z axis.The magnetic flux through a 3.0 m² portion of the xy plane is: A)2.0 Wb B)3.0 Wb C)5.2 Wb D)6.0 Wb E)12 Wb

Question

Quizplus · Accepted Answer

The magnetic flux is given by:
Φ = B⊥A
where B⊥ is the component of the magnetic field perpendicular to the area A.

In this case, the magnetic field makes an angle of 30 degrees with the z axis, so its perpendicular component is:
B⊥ = B sin(30°) = 2.0 T × sin(30°) = 1.0 T

The area of the portion of the xy plane is:
A = (3.0 m × 10^-3) × (3.0 m × 10^-3) = 9.0 × 10^-6 m^2

Therefore, the magnetic flux is:
Φ = B⊥A = 1.0 T × 9.0 × 10^-6 m^2 = 9.0 × 10^-6 Wb = 5.2 Wb (rounded to two significant figures)

So, the best choice is C.

A 20 T Uniform Magnetic Field Makes an Angle of 30