Question

a) A student measured the voltage across and current through an aluminum wire using a voltmeter and ammeter. The power supply was a battery. Sketch the circuit and how the student attached the meters to make her measurements.

b) Here is the student's data: (0, 0), (1.01, 0.35), (1.49, 0.80), (2.67, 1.10), (3.00, 1.35). Each datum is given as a (volts, amps) pair. Make a scatter plot of current versus voltage. Label your axes appropriately. Find the best estimate of the wire's resistance.

c) Aluminum has a resistivity of 2.8 × 10-8 Ω m. If 20 cm of wire was used in the experiment, then what was the diameter of the wire?

d) Aluminum has a conduction electron density of n = 6.0 × 1028 m−3. What was the drift speed of electrons in the wire when the voltage across its ends was 3.00 volts?

Answer 1

a) The circuit diagram is given below,

b)

From the best fit line, the slope is found to be slope,m = 0.44026567785065

For the graph plotted'

c) Given,

From the graph,

Resistance R =

The resistance is given by,

d) Given,