Finding the direction of the magnetic field created by a current-carrying wire, with introduction to the right hand rule and a demo of a compass needle responding to the current through a wire.

Forces felt by two parallel current carrying wires, when the currents are in the same or in opposite directions. Includes a demonstration of these forces.

Finding the magnitude and direction of the magnetic field at the center of a loop of current, with comparison to a dipole field.

Using iron filings to view the magnetic field lines near a current-carrying wire and a loop of current.

Statement; field of current-carrying wire and sheet; units; divergence of B and interpretation.

Introduction of the Biot-Savart Law for finding the magnetic field due to a current element in a current-carrying wire.

Worked example using the Biot-Savart Law to calculate the magnetic field due to a linear segment of a current-carrying wire or an infinite current-carrying wire.

Uses Biot-Savart Law to determine the magnetic force between two parallel infinite current-carrying wires.

Worked example using the Biot-Savart Law to calculate the magnetic field on the axis of a circular current loop.

Ampere's Law and its application to determine the magnetic field produced by a current; examples using a thick wire and a thick sheet of current.

Uses Ampere's Law to calculate the magnetic field of an ideal solenoid and of a toroid.

Description and tabular summary of problem-solving strategy for the Biot-Savart Law, with a finite current segment and a circular current loop as examples.

Description and tabular summary of problem-solving strategy for Ampere's Law, with an infinite wire, ideal solenoid, and ideal toroid as examples.

Find the magnetic field everywhere due to a slab carrying a non-uniform current density. Solution is included after problem.

Find the magnetic field everywhere due to the current distribution in a coaxial cable. Solution is included after problem.

Find the current through a hairpin-shaped wire loop to produce the given magnetic field at a symmetry point. Solution is included after problem.

A long current-carrying wire runs down the center of an ideal solenoid; find the magnetic force on the wire due to the solenoid and find the velocity of a particle inside the solenoid that doesn't feel the field of the wire. Solution is included after problem.

Determine the magnetic field produced everywhere in space around a line segment carrying current. Solution is included after problem.

Determine the magnetic field at the center of an arc of current. Solution is included after problem.

Determine the magnetic field at the center of a rectangle of current. Solution is included after problem.

Determine the magnetic field at the center of a hairpin of current. Solution is included after problem.

Determine the magnetic field along the axis between two infinite wires and determine where the field is the greatest. Solution is included after problem.

Determine the magnetic field everywhere around a wire with a non-uniform current density. Solution is included after problem.

Determine the magnetic field along the axis between two infinite wires and determine where the field is the greatest. Solution is included after problem.

Find the magnetic field produced by two perpindicular rays of wire. Solution is included after problem.

Describe the application of Biot-Savart and Ampere's Laws; characterize magnetic attraction or repulsion between steady current configurations.

Use Ampere's Law to find the magnetic field due to an infinitely long current-carrying wire; then calculate a circulation involving eight infinite currents and discuss the utility of Ampere's Law.

Find the magnetic field everywhere due to a long, hollow cylindrical conductor carrying a uniform current distribution.

Find the magnetic field everywhere due to a uniform current distribution in a long cylindrical conductor with an off-center cylindrical hole.

Find numerical values for the magnetic field inside and outside an ideal solenoid.

Find the magnetic field at the center of a rotating disk of uniform charge density.

Find the magnetic field at the center of a square configuration of four infinitely long current-carrying wires.

Find the magnetic field of a standard solenoid and compare it to the magnetic field produced by a spinning cylinder with a uniform surface charge.

Identify sign of circulation of magnetic field around a pictured loop.

Finding the magnetic field at points outside and in the plane of the ribbon.

Solution (PDF)

Explaining in words why parallel currents attract and antiparallel currents repel.

Solution (PDF)

Finding magnetic field using geometry from an arrangement of current-carrying wires.

Solution (PDF)

Finding field of one loop and force exerted on the other.

Solution (PDF)

Finding field of one loop and force exerted on the other.

Solution (PDF)

Applet showing the magnitude and direction of the magnetic field created by a small segment of current.

Applet demonstrating the method if integrating around a ring of current to find the magnetic field at a point above the ring.

Applet showing the magnitude and direction of the magnetic field at any point in or around a ring of current.

Video animation showing the magnetic field and behavior of two wires with current flowing in the same direction.

Video animation showing the magnetic field and behavior of two wires with current flowing in different directions.

Video animation showing the magnetic field and attraction of two coaxial wire loops with current flowing in the same direction.

Video animation showing the magnetic field and behavior of two coaxial wire loops with current flowing in different directions.

Video animation showing the magnetic field generated by a Helmholtz Coil when the two coils have current flowing in the same direction (magnetic dipole moments aligned).

Video animation showing the magnetic field generated by a Helmholtz Coil when the two coils have current flowing in different directions (magnetic dipole moments anti-aligned).

Interactive applet showing the magnetic field created by two rings with variable position, orientation, size, and current.

Interactive applet simulating the magnetic field and interactions of a current-carrying wire and a compass needle.