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Lesson: Magnetic Force on a Current-Carrying Conducting Loop in a Magnetic Field

Learn to determine the magnitude and direction of magnetic dipole force that acts on a current-carrying loop within a uniform magnetic field.

Worksheet: Magnetic Force on a Current-Carrying Conducting Loop in a Magnetic Field • 7 Questions

Q1:

A 4.0-cm by 6.0-cm rectangular current loop carries a current of 10 A. What is the magnetic dipole moment of the loop?

Q2:

A conducting loop has 50 square turns with sides 15 cm long. The loop is placed in a uniform 0.80-T magnetic field. Find the current through the loop needed to create a maximum torque of 9.0 N.m.

Q3:

A 5.0-m section of a long, straight wire carries a current of 10 A while in a uniform magnetic field of magnitude T.

Calculate the magnitude of the force on the section if the angle between the field and the direction of the current is .

Calculate the magnitude of the force on the section if the angle between the field and the direction of the current is .

Calculate the magnitude of the force on the section if the angle between the field and the direction of the current is .

Calculate the magnitude of the force on the section if the angle between the field and the direction of the current is .

Q4:

A circular coil of wire of radius 5.0 cm has 20 turns and carries a current of 2.0 A. The coil lies in a magnetic field of magnitude 0.50 T that is directed parallel to the plane of the coil.

What is the magnetic dipole moment of the coil?

What is the torque on the coil?

Q5:

The current through a circular wire loop of radius 10.0 cm is 5.0 A. The wire loop is in a 0.20-T magnetic field that is directed at a angle to the loop’s magnetic dipole moment.

Calculate the magnetic dipole moment of the loop.

What is the torque on the loop?

What is the potential energy of the dipole?
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