A flat circular loop of radius 0.10 m is rotating in a uniform $\vec { B }$ field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the $\vec { B }$ 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 a loop is given by the equation Φ = BAcosθ, where B is the magnetic field, A is the area of the loop, and θ is the angle between the plane of the loop and the magnetic field vector. Plugging in the given values, we get Φ = (0.20 T)(π(0.10 m)²)(cos 30°) = 3.1 × 10⁻³ T ∙ m² = 3.1 × 10⁻³ T ∙ mS¹². Therefore, the correct choice is B.

A Flat Circular Loop of Radius 0 B⃗\vec { B }B

A Flat Circular Loop of Radius 0 $\vec { B }$