Electricity: Electromagnetism
We are planning 12 problem sets on the topic of Electromagnetism. Most problems are multi-part problems requiring an extensive analysis. The problems target your ability to apply concepts of electric circuits and magnetic fields in order to analyze situations in which a moving charge induces a magnetic effect or a changing magnetic flux induces an emf.
Click a link to open a publicly-available problem set. If you are a Task Tracker student, open the assignment using the link on the Task Tracker assignment board.
Problem Set EM1: Force on a Moving Charge in a Magnetic Field
Use the relationship involving a charged particle moving through a magnetic field to determine the magnitude and direction of the force on the charge from the magnetic field.
Includes 7 multi-part problems.
Problem Set EM2: Bainbridge Mass Spectrometer
Use the relationships involving a charged particle moving through a magnetic field and electric field in a Bainbridge Mass Spectrometer to determine the mass of different elements and their isotopes. Includes 8 multi-part problems.
Problem Set EM3: Force on a Current in a Wire in a Magnetic Field
Use the relationship involving a current in a straight wire positioned in a magnetic field to determine the magnitude and direction of the force on the wire from the magnetic field.
Includes 4 multi-part problems.
Problem Set EM4: Force on a Current in a Wire in a Magnetic-Field Applications
Use the relationship between a current in a wire positioned in a magnetic field to determine the magnitude and direction of the force on the wire from the magnetic field. Applications involve straight wires moving in a linear fashion and circular or rectangular loops rotating about an axis whereby the forces produced create a torque. Includes 8 multi-part problems.
Problem Set EM5: Ampere's Law for Current in a Straight Wire
Use Ampere’s Law to analyze straight wires with currents that create magnetic fields and the forces these wires experience from other magnetic fields. Includes 7 multi-part problems.
Problem Set EM6: Ampere's Law for Solenoid and Toroid
Use Ampere’s Law to analyze the magnetic field created by the current in a solenoid and toroid. Includes 2 multi-part problems.
Problem Set EM7: Biot-Savart Law for Loop and Helmholtz Coils
Use the Biot-Savart Law to analyze the magnetic field created by the current in a loop at the center of the loop and along an axis perpendicular to the plane of the loop. Includes 3 multi-part problems.
Problem Set EM8: Magnetic Flux
Use the definition of magnetic flux to calculate the flux value when B-field and area vectors are positioned in various spatial geometries. Includes 3 multi-part problems.
Problem Set EM9: Changing Magnetic Flux and Faraday's Law
Use Faraday's Law to determine ε, the electromotive force, that is generated by a changing magnetic flux. Use Lenz's Law to determine the direction that the electromotive force is applied to the positive charge in the conductor by convention. Includes 5 multi-part problems.
Problem Set EM10: Inductance
Calculate the inductance of a solenoid(coiled wire) based on physical characteristics. Use Faraday's Law to determine ε, the electromotive force, that is generated when the magnetic flux changes inside the solenoid. Use Lenz's Law to determine the direction of the force. Includes 6 multi-part problems.
Problem Set EM11: LR Circuits
Use the relationships between inductor characteristics, complete circuits, and transient energizing and de-energizing equations to perform calculations. These calculations involve current, voltage and energy stored in a inductor in series with a resistor. Includes 6 multi-part problems.
Problem Set EM12: LC and Underdamped LRC Circuits
Use the relationships between capacitor characteristics, inductor characteristics, complete circuits, and transient energizing and de-energizing equations to perform calculations. These calculations involve current, voltage and energy stored in a capacitor and inductor in both LC and LRC underdamped circuits. Includes 5 multi-part problems.