A 3.0-cm by 5.0-cm rectangular coil has 100 turns. Its axis makes an angle of 55 with a uniform magnetic field of 0.35 T. What is the total magnetic flux through this coil? A) 3.0 × 10^-⁴ Wb B) 4.3 × 10^-⁴ Wb C) 3.0 × 10^-² Wb D) 4.3 × 10^-²Wb E) 5.3 × 10^-² Wb

Question

Quizplus · Accepted Answer

The magnetic flux through a coil with N turns is given by
Φ = NBAcosθ
where B is the magnetic field strength, A is the area of the coil, and θ is the angle between the normal to the coil and the magnetic field direction. In this case,
A = 3.0 cm × 5.0 cm = 15 cm² = 0.0015 m²
N = 100
B = 0.35 T
θ = 55° = 55 × π/180 ≈ 0.96 radians
Substituting these values, we get
Φ = (100)(0.35)(0.0015)cos(0.96) ≈ 3.0 × 10⁻¹² Wb
Therefore, the best choice is C.

A 30-Cm by 5