This exam asesses course standards 14 and 16–19. If you can do the tasks described below, you will satisfy the standards on the quiz.
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 isopotential 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.
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 the dielectric of 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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