A 1000-turn toroid has a central radius of 4.2 cm and is carrying a current of 1.7 A. The magnitude of the magnetic field along the central radius is A)8.1 × 10^-3 T. B)5.1 × 10^-2 T. C)1.6 × 10^-2 T. D)8.1 × 10^-2 T. E)0.

Question

Quizplus · Accepted Answer

The magnetic field inside a toroid is given by B = (μ₀ * N * I) / (2π * r), where N is the number of turns, I is the current, and r is the central radius. Substituting the given values, B = (4π × 10⁻⁷ T*m/A * 1000 * 1.7 A) / (2π * 0.042 m) = 8.1 × 10⁻³ T.

A 1000-Turn Toroid Has a Central Radius of 4