Mutual Inductance and Induced EMF

This video tutorial covers the concept of mutual inductance, focusing on how it occurs between two coils of wire. It explains the principles of mutual inductance, including the relationship between changing currents and induced electromotive force (emf). The tutorial includes problem-solving examples to calculate mutual inductance and induced emf, using both basic and advanced scenarios. It also explores the mutual inductance in solenoids, providing detailed calculations and explanations.

What happens to the induced EMF in coil 2 if the current in coil 1 is increasing?

• It remains zero.

• It becomes negative.

• It becomes positive.

• It doubles.

If the current in coil 1 decreases, what is the nature of the induced EMF in coil 2?

• It triples.

• It opposes the decrease.

• It supports the decrease.

• It remains unchanged.

In the given problem, what is the mutual inductance if the induced EMF is -24 volts and the current changes from 0 to 10 amps in 25 microseconds?

• 8 x 10^-5 H

• 4 x 10^-5 H

• 6 x 10^-5 H

• 10 x 10^-5 H

What is the average induced EMF in the second coil if the current in the first coil decreases from 20 to 0 amps in 4 microseconds?

• 400 volts

• 300 volts

• 500 volts

• 200 volts

How is the mutual inductance of a solenoid calculated?

• Using the current and voltage.

• Using the number of turns and the length of the solenoid.

• Using the number of turns, cross-sectional area, and length of the solenoid.

• Using the cross-sectional area and the magnetic field.

What is the mutual inductance of the solenoid if it has 1000 turns, a cross-sectional area of 5 cm², and a length of 35 cm?

• 718 microhenries

• 500 microhenries

• 900 microhenries

• 600 microhenries

What is the induced EMF in the second coil if the current in the first coil increases from 15 to 35 amps in 200 microseconds?

• 50 volts

• -50 volts

• 71.8 volts

• -71.8 volts

Why is the induced EMF negative when the current in the first coil is increasing?

• It supports the increase in flux.

• It opposes the increase in flux.

• It remains constant.

• It doubles the flux.

How do you calculate the magnetic flux through the second coil when a constant current flows through the first coil?

• Using the length and area.

• Using the current and time.

• Using the voltage and resistance.

• Using the mutual inductance and the number of turns in the second coil.

What is the magnetic flux through the second coil if the mutual inductance is 718 microhenries and the current is 25 amps?

• 4.49 x 10^-5 webers

• 5.49 x 10^-5 webers

• 3.49 x 10^-5 webers

• 6.49 x 10^-5 webers