This is a quick and simple project that will introduce how to use the WaveForms Power Supplies and Data Logger with the Electronics Explorer Board. The circuit that will be implemented will be a simple network of 4 resistors of varying values. The WaveForms Power Supplies will be used to power the circuit. Two “nodes” of the resistor network will be connected to different voltmeter channels on the EE Board and the WaveForms data logger will be used to measure the voltage at these nodes of interest. As part of this project, a brief background of voltage dividers and series/parallel resistors will be discussed.

users may add additional plots to the graph including the voltage of the VP+ rail and other mathematically derived plots.

The figure to the right shows the original circuit from step 3. Nodes A and B are the locations of the circuit that were measured with channels 1 and 2, respectively. The discussion regarding how the values at nodes A and B were obtained will begin with a discussion of series resistors.
Resistors being in series refers to them being in the same line. To combine resistors in series, simply add their values together. For example: R3 + R4 = 100Ω + 470Ω = 570Ω
Applying the principle above, resistors R3 and R4 can be combined to a single resistor. This results in a simplified equivalent circuit, shown at the right.
The new simplified circuit consists of two resistors in parallel. When combining resistances in parallel, apply the following formula:
In our circuit, resistors R2 and R3,4 are in parallel. Applying the equation above leads to:
This leads to the further simplified circuit shown on the right. This circuit is a simple voltage divider that has isolated node A so the voltage at this node can be easily calculated.
Applying the standard voltage divider equation gives the voltage at node A.
Notice this value matches the voltage measured at channel 1 of the voltmeter!
To find the voltage at node B, we will apply a fundamental concept of parallel circuits. This concept is as follows: Components in parallel, regardless of number or value, have the same voltage drop across them. In our circuit this means that R2 has the 2.178V from Node A across it. Additionally, resistors R3 and R4, when combined, have the same 2.178V across them. We can now apply the same voltage divider equation to R3 and R4 to find the voltage at Node B. You may want to refer back to the original circuit (shown again on the right) to see how we applied the voltage divider.
Notice that this matches the voltage measured at channel 2 of the voltmeter!
That concludes this project! Try applying different voltages with VP+ or using different resistor values and check if your measured values match your calculations!