After the introduction of the SMU ADALM1000 in our Analog Dialogue December 2017 article, we want to start with the first of some small, basic measurements. You can find the previous ADALM1000 article here.

Now let’s get started with the first experiment.

### Topic 1: Voltage and Current Division

### Objective

The objective of this lab activity is to verify the voltage and current division properties of resistor networks.

### Background

Voltage and current division allow us to simplify the task of analyzing a circuit. Voltage division allows us to calculate what fraction of the total voltage across a series string of resistors is dropped across any one resistor. For the circuit of Figure 2, the voltage division formulas are:

Current division allows us to calculate what fraction of the total current into a parallel string of resistors flows through any one of the resistors.

For the circuit of Figure 3, the current division formulas are:

### Materials

- ADALM1000 hardware module with installed ALICE software (see the Notes section at the end of this article).
- Various resistors: 470 Ω, 1 kΩ, 4.7 k Ω, and 1.5 k Ω

### Procedure

1. Verify the voltage division:

- Construct the circuit as shown in Figure 2. Set R
_{1}= 4.7 kΩ, R_{2}= 1.5 kΩ, and use the fixed power supply 5 V as voltage source V_{S}. - Use the ALICE desktop tool to measure voltages V
_{1}and V_{2}with AWG Channels A and B in high-Z mode. The rest of the settings do not matter at this point. Under the**Curves**drop-down menu select**CA- V, CB-V, CA-I**, and**CB-I**traces for display. Or just click on**All***to*select all four traces.Under the CA and CB Meas drop-down menus, select Avg under the -CA-V- and -CB-V- sections to display the average voltages on each channel. Click on the green Run button to start taking measurements. The values will be displayed below the main grid.

Repeat this step for R

_{1}= R_{2}= 4.7 kΩ and write down the measurements. - Calculate voltages V
_{1}and V_{2}by using Equation 1 and Equation 2 in each case. - Compare the results from Steps 1a and 1b.

2. Verifying the current division:

- Construct the circuit as shown in Figure 3. Set R
_{1}= 470 Ω, R_{2}= 1 kΩ, and R_{S}= 470 Ω. - Use the ALICE desktop tool to measure the currents I
_{S}, I_{1}, and I_{2}. Connect the Channel A generator output as voltage source VS. Set CHA to source a dc voltage of 5 V. Use Channel B as an ammeter to alternately measure I_{1}and I_{2}by connecting the lower end of R_{1}and R_{2}to Channel B with Channel B set to 0 V.To display the average current in each channel, select Avg in the -CA- Iand -CB-I- sections of the Meas drop-down menus.

Repeat this step by using R

_{1}= R_{2}= 470 Ω and write down the measurements. - Calculate the currents I
_{1}and I_{2}by using Equation 3 and Equation 4. - Compare the results from steps 2b and 2c.

### Questions

- How well did the measured outputs and calculated outputs compare? Explain any difference.
- Can you apply current division to obtain I
_{1}and I_{2}for the circuit shown in Figure 8? Explain briefly.

### Notes

As in all the ALM labs, we use the following terminology when referring to the connections to the ALM1000 connector and configuring the hardware. The green shaded rectangles indicate connections to the ADALM1000 analog I/O connector. The analog I/O channel pins are referred to as CA and CB. When configured to force voltage/measure current, –V is added as in CA-V or when configured to force current/measure voltage, –I is added as in CA-I. When a channel is configured in the high impedance mode to only measure voltage, –H is added as CA-H.

Scope traces are similarly referred to by channel and voltage/current, such as CA-V and CB-V for the voltage waveforms, and CA-I and CB-I for the current waveforms.

We are using the ALICE Rev 1.1 software for those examples here.

File: alice-desktop-1.1-setup.zip. Please download here.

The ALICE desktop software provides the following functions:

- A 2-channel oscilloscope for time domain display and analysis of voltage and current waveforms.
- The 2-channel arbitrary waveform generator (AWG) controls.
- The X and Y display for plotting captured voltage and current vs. voltage and current data, as well as voltage waveform histograms.
- The 2-channel spectrum analyzer for frequency domain display and analysis of voltage waveforms.
- The bode plotter and network analyzer with built-in sweep generator.
- An impedance analyzer for analyzing complex RLC networks and as an RLC meter and vector voltmeter.
- A dc ohmmeter measures unknown resistance with respect to known external resistor or known internal 50 Ω.
- Board self-calibration using the AD584 precision 2.5 V reference from the ADALP2000 analog parts kit.
- Alice M1K voltmeter.
- Alice M1K meter source.
- Alice M1K desktop tool.

For more information, please look here.

Note: You need to have the ADALM1000 connected to your PC to use the software.