A circular area with radius 6.50 cm lies in the x-y plane. A uniform magnetic field of 0.230 T points at an angle 53.1 degrees from the +z direction. What is the magnitude of the magnetic flux through this circle?

A. 3.06 x 10^-3 Wb
B. 0.00 Wb
C. 1.83 Wb
D. 1.84 x 10^-3 Wb

the magnetic flux through this circle is = 3.06 × Wb

Explanation:

radius r = 6.5 cm = 0.065 m

area A = πr²

           = 3.14*0.065*0.065

             = 0.0132665 m²

B = 0.23 T

θ = 0

for,

flux φ = BA cosθ

          = 0.23*0.0132665 cos 0

            =0.003051295 Wb

            = 3.06 × Wb