A flat circular loop of radius 0.10 m is rotating in a uniform magnetic field of 0.20 T. Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are at an angle of 30°. A) 0 T ∙ m² B) 3.1 × 10^-3 T ∙ m² C) 5.5 × 10^-3 T ∙ m² D) 6.3 × 10^-3 T ∙ m²

Question

Quizplus · Accepted Answer

The magnetic flux through the loop is given by the formula: 
Φ = B * A * cosθ
where B is the magnetic field strength, A is the area of the loop, and θ is the angle between the magnetic field vector and the plane of the loop.

In this case, B = 0.20 T, A = πr^2 = π(0.10 m)^2 = 0.0314 m^2, and θ = 30°.

Substituting these values into the formula, we get:
Φ = (0.20 T)(0.0314 m^2)(cos30°) = 3.1 × 10^-3 T ∙ m^2 = 3.1 × 10^-3 T ∙ m^2

Therefore, the best choice is B, with a magnetic flux of 3.1 × 10^-3 T ∙ m^2.

A Flat Circular Loop of Radius 0