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

answer: option c. i.e. electric current flowing “downhill” from the negative electrode to the positive electrode in a battery

explanation:

the water analogy to the circuits define the pipes (water flows) to the electric current. now, we know that the electric current flows from the positive terminal to the circuit (as shown in the diagram attached).

hence, option c is the correct answer.