# Worksheet: The Magnetic Field of a Solenoid

In this worksheet, we will practice using the Biot–Savart law and Ampere's law to calculate how the magnetic field of a solenoid varies with distance from the solenoid.

Q1:

The current through a solenoid is 2.0 A. How many turns per centimeter must be wound on the solenoid in order to produce a magnetic field of T within it?

Q2:

A solenoid is wound with 2,000 turns per meter. When the current is 5.2 A, what is the magnetic field within the solenoid?

• A
• B T
• C T
• D T
• E T

Q3:

A solenoid with 25 turns per centimeter carries a current . An electron moves within the solenoid along a circular path that has a radius of 2.0 cm and is perpendicular to the axis of the solenoid. If the speed of the electron is m/s, what is ?

Q4:

A solenoid has a ferromagnetic core with turns of conducting coil per meter wound around the core. The current in the solenoid’s coils is 5.0 A. The magnetic field inside the solenoid is 2.0 T. What is the magnetic susceptibility of the core material?

Q5:

A solenoid has 15.0 turns per centimeter. What current will produce a magnetic field of T within the solenoid?

Q6:

A toroid has 250 turns of wire and carries a current of 50 A. Its inner and outer radii are 11.0 cm and 14.0 cm.

What is the value of its magnetic field at ?

What is the value of its magnetic field at ?

• A T
• B T
• C T
• D T
• E T

Q7:

A 36 amperes current flows through a solenoid with 1,500 turns per meter.

What is the magnetic field inside the solenoid if its core is filled with a vacuum?

• A T
• B T
• C T
• D T
• E T

What is the magnetic field inside the solenoid if its core is filled with liquid oxygen at 90 K having magnetic susceptibility ?

• A T
• B T
• C T
• D T
• E T