# Worksheet: Mutual Inductance of Conducting Loops

In this worksheet, we will practice calculating the mutual inductance of systems involving multiple solenoids or conducting loops.

**Q1: **

A coil of 40 turns is wrapped around a long solenoid of
cross-sectional area m^{2}. The solenoid is 0.50 m long and has 500 turns.

What is the mutual inductance of this system?

- A H
- B H
- C H
- D
- E H

The outer coil is replaced by a coil of 40 turns whose radius is three times that of the solenoid. What is the mutual inductance of this configuration?

- A H
- B H
- C
- D
- E H

**Q3: **

A toroidal coil has a mean radius of 16 cm and a
cross-sectional area of 0.25 cm^{2}; it is wound uniformly
with 1,000 turns. A second toroidal coil of 750 turns is
wound uniformly over the first coil. Ignoring the variation
of the magnetic field within a toroid, determine the mutual
inductance of the two coils.

- A H
- B H
- C H
- D H
- E

**Q8: **

A centrifuge with a radius of 20.0 cm is uniformly brought to rest from a rotation rate of 10,000 rpm in a time of 30.0 s. A point is on the rim of the centrifuge and a line intersects both and the center of the centrifuge.

What is the magnitude of the total acceleration of the point at the instant ?

What is the magnitude of the angle between the direction of the total acceleration of the point and the line ?