Use the following figure to answer the next problem: -The tightly wound toroid shown consists of 100 turns of wire,each carrying a current I = 3 A.If a = 12 cm and b = 15 cm,the magnetic field at r = 13 cm,due to the current in this toroid,is (µ₀ = 4$\pi$ $\times$ 10^-7 N/A²) A)333 µT B)462 µT C)500 µT D)600 E)zero

Question

Quizplus · Accepted Answer

Using the equation for the magnetic field inside a toroid, B = µ0nI, where n is the number of turns per unit length and I is the current, we can find the magnetic field at r = 13 cm as follows:

n = N / 2πa = 100 / (2π × 0.12) ≈ 132.8 turns/m

B = µ0nI = 4π × 10^-7 T·m/A × 132.8 turns/m × 3 A ≈ 0.462 mT ≈ 462 µT

Therefore, the best choice is B, with a magnetic field of 462 µT.

Use the Following Figure to Answer the Next Problem π\piπ ×\times×

Use the Following Figure to Answer the Next Problem $\pi$ $\times$