This exam asesses course standards 13–20. If you can do the tasks described below, you will satisfy the standards on the exam.
Identify and explain the formulas for the performance metrics of heat engines, refrigerators, and heat pumps.
Produce, identify, and explain the formulas relating the heat transferred between the device and the hot reservoir, the heat transferred between the device and the cold reservoir, and the work done on or by the device.
For a heat engine, refrigerator, or heat pump, given two, find the other two: heat transferred between the device and the hot reservoir, the heat transferred between the device and the cold reservoir, and the work done on or by the device, and performance.
Cite the thermodynamic criteria for operation of a heat engine, refrigerator, or heat pump in terms of heat transferred between the device and the hot and cold reservoirs and the temperatures of the hot and cold reservoirs.
For a heat engine, refrigerator, or heat pump, produce the formula for maximal performance in terms of the temperatures of the hot and cold reservoirs.
Given the locations and charges of any number of source charges, and the location of a field point, find the electric field at the field point.
Given an electric field at a field point and the charge of a charge at he field point, find the force that the field exerts on the charge.
Given the signs and positions of two electric charges, find the direction of their electrical interaction.
Express Coulomb;s law in terms of Coulomb's constant and also in terms of the permittivity of free space.
Given a field line depiction of an electric field, sketch an isopotential map.
Given an isopotential map for an electric field, sketch a field line depiction of the field.
Make field line and isopotnetial maps for fields resulting from:
Given a field line map, identify where the field is stronger and weaker, and identify the direction of the field at any point.
Given an isopotential map, identify where the field is stronger and weaker, and identify the direction of the field at any point.
Identify the static field and potential in a conductor.
Use Gauss's law to find the electric field formula and general shape of the electric field for highly symmetrical charge distributions:
Use Gauss's law to show that an unbalanced charge on a conductor is on the outside of the conductor.
Given two, find the third: charge, length, linear charge density.
Given two, find the third: charge, area, surface charge density.
Given two, find the third: charge, volume, volume charge density.
Given the potential difference between two locations, calculate the work needed to move a charge from one to the other.
calculate the potential difference between two points in a uniform electric field.
Calculate the electric potential at a point in space near an isolated point charge.
Calculate the electric potential at a point in space near any number of point charges.
Calculate the electric potential difference between two points given the (integrable) formula for the electric field.
Calculate the electric field at a point given the formula for the electric potential.
Define “voltage.”
Given two, find the third: charge, voltage, capacitance.
Describe what a capacitor does. Produce the formulas for capacitance and the energy stored in a capacitor.
Given two, find the third: charge, voltage, energy. Or charge, capacitance, energy, or capacitance, voltage, energy.
Find the equivalent capacitance of any number of capacitors in series or parallel.
Identify the name of the unit of capacitance. Break down the unit of capacitance into m, kg, s, C, and other useful partitions
Compare charges at the same voltage, voltages at the same charge, and energies at the same voltage or charge for capacitors with different capacitance.
Produce the formula for the capacitance of a parallel-plate capacitor based on its plate area, plate separation, and dielectric constant of its dielectric.
Conceptually justify the parallel-plate capacitor formula.
Given the geometry and composition of a parallel plate capacitor, calculate its capacitance and breakdown voltage.
Determine the capacitor plate area and separation necessary to give a desired capacitance and breakdown voltage.
Describe and calculate the electric field in a dielectric parallel plate capacitor given the dielectric constant and charge density.
Identify the charge distributions on the plates and in the dielectric of a parallel plate capacitor.
Compare the electric fields in otherwise identical capacitors with different dielectrics.
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Revised: 22 October 2025. Maintained by Richard Barrans.
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