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The graph above shows the voltage as a function of time across the source (red), the resistor (blue), the capacitor (green), and the inductor (yellow), as well as the circuit current (black). Voltage is given in volts, current is given in milliamperes, angles are given in degrees, and time is given in seconds. Restart.
From the vectors on the phasor diagram, we can develop a connection between the peak (or rms) voltage and the peak (or rms) current, where V0 = I0 Z and the phase difference between the voltage and current is given by φ. On the phasor diagram V0 (the source voltage-red) is the vector sum of the three voltage vectors (resistor-blue, inductor-yellow, and capacitor-green) and φ is the angle between V0 and the resistor phasor (since resistor current and voltage are in phase). The y components of the phasor vectors are the voltages across the various circuit elements at any instant in time. The frequency can be varied between 30 and 1000 Hz.
1. Set L = 0.01 and C = 100 to minimize XL and XC and simulate a purely Resisitive circuit. A large value of C is required to make XC = 1/2pfC small.
2. Set L = 0.01 and C = 1 to simulate an RC circuit.
3. Set L = 1 and C = 100 to simulate an RL circuit.
4. Set L = 1 and C = 1 to simulate an RLC circuit.
Exploration authored by Anne J. Cox and modified by Tim Gfroerer.
Script authored by Wolfgang Christian and Anne J. Cox.
© 2004 by Prentice-Hall, Inc. A Pearson
Company