A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A. What is the magnitude of the magnetic field inside the solenoid at the central radius? (μ₀ = 4π × 10^-7T ∙ m/A) A) 8.1 mT B) 51 mT C) 16 mT D) 81 mT E) zero

Question

Quizplus · Accepted Answer

The magnetic field inside a toroidal solenoid 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 mT.

A 1000-Turn Toroidal Solenoid Has a Central Radius of 4