Question

A 17-cm diameter loop is placed in three different magnetic fields. The loop's resistance is 0.20 Ω. The magnetic field strength is increasing at a rate of 0.50 T/s. What is the induced emf?

Answer 1

The induced emf can be calculated using Faraday's Law of electromagnetic induction. The magnetic field strength is increasing at a rate of 0.50 T/s, and the area of the loop is given by its diameter. Substituting the values into the equation, the induced emf is approximately 449.96 V.

Step-by-step explanation:

The induced emf can be calculated using Faraday's Law of electromagnetic induction. According to Faraday's Law, the induced emf is equal to the rate of change of magnetic flux through the loop. The magnetic flux is given by the product of the magnetic field strength and the area of the loop. Since the magnetic field strength is increasing at a rate of 0.50 T/s, we can calculate the induced emf as follows:

emf = (rate of change of magnetic field) * (area of the loop)

Substituting the values, we have:

emf = (0.50 T/s) * (π(17 cm/2)^2)

Simplifying, the induced emf is approximately 449.96 V.