Concept #1: Mutual Induction

Practice: An outer solenoid with 30 turns is wound tightly around an inner coil 25cm long with a diameter of 4cm and 300 turns. The current in the inner solenoid is 0.12 A and is increasing at a rate of 1.75×10^{3}A/s. a) What is the average magnetic flux through each turn of the outer coil? b) If the resistance of the outer coil is 20mΩ, what is the magnitude of the induced current through the outer coil?

A circular coil with 20 loops and a radius of 50 cm and a second circular coil with 40 loops and a radius of 10 cm are aligned such that they share the same center axis. What is the mutual inductance of the two coils?

Two coils have a mutual inductance of 3.4 mH. If the current in one coil is changing at a rate of 1 mA/s, and the resistance of the second coil is 10 Ω, what is the current induced in the second coil?