# Problem: A circular area with a radius of 7.00 cm lies in the xy-plane. a) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field with a magnitude of 0.250T in the + z-direction? b) What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.250T ), now at an angle of 54.4° from the + z-direction?c) What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.250T ), now in the + y-direction?

###### FREE Expert Solution

Magnetic flux:

$\overline{){{\mathbf{\varphi }}}_{{\mathbf{B}}}{\mathbf{=}}{\mathbf{BAc}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta }}}$

a)

θ = 0° ###### Problem Details

A circular area with a radius of 7.00 cm lies in the xy-plane.

a) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field with a magnitude of 0.250T in the + z-direction?

b) What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.250T ), now at an angle of 54.4° from the + z-direction?

c) What is the magnitude of the magnetic flux through this circle due to the same magnetic field (with a magnitude of 0.250T ), now in the + y-direction?