Question

An MRI technician moves his hand into a 2.00 T magnetic field in 0.250 s. Find the average emf induced in his wedding ring (diameter = 2.20 cm).

(A) 0.0034 V
(B) 0.034 V
(C) 0.34 V
(D) 3.4 V

Answer 1

The average emf induced in the technician's wedding ring is approximately 0.034 V.

Step-by-step explanation:

To find the average emf induced in the technician's wedding ring, we can use the formula:
emf = B * A * Δt
where B is the magnetic field strength, A is the area of the ring, and Δt is the time taken to move the ring into the field.

Since the ring is circular, its area can be calculated using the formula:

A = π * r²

where r is the radius of the ring. Substituting the values into the formulas, we have:

emf = 2.00 T * π * (1.10 cm)² * 0.250 s

emf ≈ 0.034 V

Therefore, the average emf induced in the technician's wedding ring is approximately 0.034 V.