



In this simulation, a 100 W resistor, a
50 mH inductor, and a 20 microF capacitor are connected in series with a 10Volt
(maximum) AC source. The graph shows the voltage across each of the
components as function a of time in different colors, and the source voltage in
black. Vary the value of the source's angular frequency
(5 rad/s
< w < 5000 rad/s ) using the slider. What is the
impedance of the circuit? How do the voltages across the components add
up?

Hints:
 At one frequency, use the cursor to measure the maximum voltage
across each component. Do they add up to the maximum source
voltage?
 At one frequency and one time, use the cursor to measure the
voltage across each component. Do they add up to the source
voltage?
 Why don't both approaches work? Does one take something else
into account? What?
 What is the relationship between the times at which the maximum voltages
occur?
 Is there a way to "add" the maximum voltages so that they
add to the maximum source voltage? Refer to the calculation of
impedance for an example.

Reference
See Serway and Beichner, Physics For Scientists and Engineers 5th Edition, Section
33.5

Illustration written by Chuck Niederriter

