Question

An emf is induced by rotating a 1000-turn coil in the Earth’s 5.00×10⁻⁵ T magnetic field. What average emf is induced when the coil is rotated from perpendicular to parallel in 10.0 ms?

(A) 0.007 V
(B) 0.07 V
(C) 0.7 V
(D) 7 V

Answer 1

The average EMF induced when a 1000-turn coil is rotated from perpendicular to parallel in the Earth's magnetic field is 0.007 V.

Step-by-step explanation:

The average EMF induced when a 1000-turn coil is rotated from perpendicular to parallel in the Earth's magnetic field can be calculated using Faraday's Law of electromagnetic induction.

The formula is: EMF = NABωsinθ, where N is the number of turns, A is the area of the coil, B is the magnetic field strength, ω is the angular velocity, and θ is the angle between the plane of the coil and the magnetic field.

In this case, the coil has 1000 turns, a diameter of 20.0 cm, and is rotated in a 5.00 × 10-5 T magnetic field.

The angle between the plane of the coil and the magnetic field changes from 90 degrees to 0 degrees in 10.0 ms. Using the formula, we can calculate the average EMF:

EMF = (1000 turns) * (π(0.1 m)^2) * (5.00 × 10-5 T) * ((2π radians) / (0.01 s)) * sin(90° - 0°)

EMF = 0.007 V