Electric Circuits unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
Resistivity and resistance
Sign conventions in the loop rule
Real vs ideal battery
Power dissipation
Ammeter and voltmeter placement
Ohm's law and its limits
Non-ohmic devices
Internal resistance
Power supplied vs dissipated
Short circuit
Maximum power transfer
Reducing a network
Short answer 1. Define or explain: Kirchhoff's rules
3 ptsShort answer 2. Define or explain: When reduction fails
3 ptsShort answer 3. Define or explain: Brightness of bulbs
3 ptsShort answer 4. Define or explain: Current density and drift velocity
3 ptsFree response
10 ptsEXPERIMENTAL DESIGN AND ANALYSIS (Question 3, 10 points). In Experiment 1, students must use a graph to determine the resistivity ρ1 of a cylindrical circuit element of uniform resistivity connected to a variable power supply (Figure 1). Available: a voltmeter, an ammeter, and a ruler. For C–D (Experiment 2): students determine the resistivity ρ2 of solid cylindrical resistors of the same material but different lengths L, each with cross-sectional area 5.0×10⁻⁶ m². The resistance R between the ends of each resistor is measured directly. Table 1: L = 0.010, 0.020, 0.030, 0.040, 0.050 m with R = 0.90, 1.6, 2.5, 3.2, 4.0 Ω.
A. Describe a procedure for collecting data that would allow the students to use a graph to determine ρ1, including steps to reduce experimental uncertainty.
B. Describe how the collected data could be graphed and analyzed to determine ρ1.
C(i). Indicate two quantities (from Table 1 or calculated) to graph for a straight line usable to determine ρ2, naming each axis. C(ii). Create the graph: recorded values, labeled axes with units, plotted points. C(iii). Draw a best-fit line.
D. Using the best-fit line from part C(iii), calculate an experimental value for ρ2.