NIGHT 1 · CORE BUILD
Equal branches
Compare the current in two equal branches after the same series drop.
Parts · One nominal 3 V two-AAA pack, a breadboard, jumpers, a meter, and ¼ W or higher resistors: R1 = 100 Ω, R2 = 220 Ω, R3 = 220 Ω.
1Predict
Help with circuit reduction
R2 and R3 share both nodes. Reduce those two first using R₂R₃ ÷ (R₂ + R₃), then add the series 100 Ω. Use I = V ÷ R on the whole circuit.
Nominal check · 110 Ω for the parallel group, 210 Ω total, and 14.29 mA at 3.00 V.
2Build
With both pack leads disconnected, wire the common series resistor before the split. Each branch goes from the split node to the same return. Have your instructor check the build before you connect power.
Reveal the wiring schematic
Reveal the breadboard and hole list
- Jumper the positive rail to a14. R1 goes from e14 to f14 across the center gap.
- Place R2 from h14 to h20 and R3 from j14 to j20. The f–j strip at column 14 is the split node.
- Jumper g20 to the negative rail. Verify the five-hole strips and rail breaks on your actual board before attaching the pack.
3Measure and calculate
After approval, use DC volts with black in COM and red in V/Ω. Place red on the first point named and black on the second. Calculate current from voltage and resistance. Disconnect the pack before moving wires or using Ω mode.
Show the probe points and calculation plan
A–C is the supply across the pack. A–B is across R1. Probe B–C directly across R2 and then R3. Both branches share these same electrical nodes.
Use the nominal resistor labels for your calculated total resistance. Divide your measured pack voltage by that resistance, then multiply amperes by 1,000 for milliamperes.
4Explain
Help with branch current and power
Use V across each branch divided by its resistance. At 3.00 V, R2 carries 7.14 mA and R3 carries 7.14 mA. The branch currents add to the source current.
Disconnect the pack and show your build and notebook to the instructor.