VM208

VM208
RL Circuit with Controlled Source

Overview

Reference:J. O'Malley, Schaum's Outline of Theory and Problems of Basic Circuit Analysis, 2nd Edition, McGraw-Hill Book Co., Inc., New York, NY, 1992, Problem 14.23, Figure 14.25.
Analysis Type(s):Harmonic
Element Type(s):Electric Circuit Elements (CIRCU124)
Input Listing:vm208.dat

Test Case

A circuit consists of 2 resistors, an inductor, an independent voltage source, an independent current source, and a current-controlled current source. Determine the voltage at node 4 in the circuit.

Figure 326: RL Circuit Problem Sketch

RL Circuit Problem Sketch

Circuit ValuesLoading
R1 = 3 Ω
R2 = 2 Ω
L1 = j4 Ω
AI = -3
V = 15 volts at a phaser angle of 30°
I = 5 amps at a phaser angle of -45°

Analysis Assumptions and Modeling Notes

A harmonic analysis is run at a frequency of 1/2 π Hz so that the inductor impedance value can be simply input as 4 ohms. Care must be exercised in assigning the node values to the current controlled current source (CCCS) to correctly account for the sign on the CCCS gain (AI).

Results Comparison

@ Node 4TargetMechanical APDLRatio
Real Voltage, V16.4416.461.001
Imag Voltage, V-1.41-1.411.00