ENGR336 Lab 2022 Fall
Lab 1: Review Superposition, Thevenin's Equivalent Circuit, and LTSpice
Name: Seth VanMatre
Email:
sgvanmatre@fortlewis.edu
Review Superposition, Thevenin's Equivalents, and LTSpice
Introduction
The
objective of this lab is to review Superposition, Thevenin's Equivalent
Circuit, and being able to simulate the theoritical circuit in LTSpice.
Both of these circuit techniques are derived from applying the simple
principle of Ohms Laws, Kirchhoff's Voltage Law, and Kirchhoff's
Current Law.
Materials and Methods
Task 1
Apply
SuperPosition Theorm on the circuit in 'Task 1' to find all the
voltages and current throughout the circuit. Then without the use of
symbols/schematics simulate the circuit in LTSpice only using Spice
code.
Task 2
Apply
Thevenin's Equivalent Circuit to the circuit in 'Task 2'. Use the 4nF
capacitor as the load for this circuit to find Rth and Vth. Once the
equivalent circuit is calculated use LTSpice, only using Spice code, to
simulate the circuit.
Results
Task 1
Figure
1 shows the hand calculation for 'Task 1' applying Superposition to
solve for all the voltages and currents throughout the circuit. These
values can be seen in Table 1. Figure 2 represents the simulation
of the circuit in LTSpice. The currents and voltages going
through each resistor can be seen- blue line is the current and the
green line is the voltage.
Figure 1: Calculations for Superposition Theorm.
VR1 = .3v | VR2 = .3v | VR3 =.3v |
IR1 = .2mA | IR2 = .2mA | IR3 =.4mA |
Table 1: Voltages and currents across 'Task 1' circuit.
Figure 2a: Voltage and current across R1.
Figure 1b: Voltage and current across R2.
Figure 2c: Voltage and current across R3.
Task 2
The calculations for Thevenin's Equivalent Circuit can be seen in Figure 3. The values for V
TH and RTH were calculated out to be 1.6v and 2k
ohms. Figure 4 shows the simulation of the Thevenin's Equivalent
Circuit using the 'PULSE' function to charge up the capacitor.
![Work2](Task2-1.jpg)
Figure 3: Calculation for Thevenin's Equivalent Circuit for "Task 2'.
Figure 4: Simulation of the calculated Thevenin's Equivalent Circuit.
Discussion
Reviewing
how to do Superposition Theorm, Thevenin's Equivalent Circuit, and
LTSpice has helped me not only in this class but also in Anolog. The
theoritical calculations matched up exactly to what was being measured
using LTSpice.