myDAQ homework problem: DC Circuits > Superposition

[edoering]

Problem Statement:
(a) Determine a symbolic expression for the voltage V_A using the superposition method. Also determine expressions for V_A1 (the contribution to V_A due to the source V₁ acting alone) and V_A2 (the contribution to V_A due to the source V₂ acting alone).
(b) Evaluate the expressions V_A , V_A1 and V_A2 for the resistor values R₁ = 4.7K, R₂ = 1.0K, R₃ = 3.3K, and R₄ = 2.2K and source values V1 = V2 = 3.3 volts.

Analysis:

• Show your complete solution process
• Learn about the superposition theorem at All About Circuits
• See similar worked problems at Circuits Learned by Example (CLEO)

myDAQ Measurement:

• Create the voltage sources V₁ and V₂ with the digital outputs DIO0 and DIO1
• Operate the digital outputs with NI ELVISmx Digital Writer (“DigOut” on NI Instrument Launcher)
• Measure the voltage V_A and related voltages V_A1 and V_A2 with the NI ELVISmx DMM set to voltmeter mode
• Optional: You can achieve better agreement between your physical circuit and the problem statement by measuring the voltages V1 and V2 as well as the resistances R1 through R4 and using these values in your symbolic expressions
• Follow along with the video clip below to confirm correct operation of your measurement setup

Comparison:

• Report percentage difference between calculated values and corresponding measured values
• Include screenshots of the DMM  display for each of the three voltages V_A , V_A1 and V_A2