A schematic shows connectivity, not geography.
Beginners often try to copy the physical shape of a schematic onto a breadboard. In reality, any continuous ideal wire forms a single node at one shared potential relative to your reference node.
Moving the black COM probe to a different node changes the reference and shifts every single-ended voltage reading without changing the circuit itself.
Three things to notice
- Count nodes before building. Our series LED circuit has exactly three nodes: VCC (supply +), Node A (between R1 and LED anode), and GND (0 V return).
- Ground is not always earth. In an isolated bench circuit, GND simply marks the 0 V reference node chosen by the designer.
- Open loops carry zero steady current. Without a return path to the source's negative terminal, charges cannot circulate.
Detailed Worked Engineering Example & Step-by-Step Solution
A 5 V DC source feeds a red LED (Vf = 1.9 V) through an SPST switch and a 330 Ω current-limiting resistor. Because the switch, resistor, and LED are in a single series loop, the exact same current flows through every component.
Supply Vs = 5.0 V, Red LED forward drop Vf = 1.9 V, Series resistor R1 = 330 Ω, Switch SW1 = Closed.
- 1. Apply Kirchhoff's Voltage Law (KVL) around the loop: V_R1 = Vs − Vf = 5.0 V − 1.9 V = 3.10 V.
- 2. Apply Ohm's Law to R1: I = V_R1 / R1 = 3.10 V / 330 Ω = 0.00939 A = 9.39 mA.
- 3. Compute resistor power dissipation: P_R1 = I² · R1 = (0.00939)² × 330 = 29.1 mW (well below ¼ W = 250 mW limit).
Conclusion: Node voltages: V(VCC) = 5.00 V, V(N1) = 5.00 V, V(N2) = 1.90 V, V(GND) = 0.00 V.
Electronic Components Reference: How Each Part Works & Connects
An ideal DC source holds V(+) − V(−) = Vs regardless of load current. Real bench supplies have a current limit (CC mode) and small internal resistance.
How to connect: Connect nodeA (+) to your main supply rail (VCC) and nodeB (−) to the reference ground node (GND = 0 V). Never wire two different voltage sources directly in parallel across the same two nodes.
Worked Example: Example: A 9 V source connected across a 450 Ω load resistor drives I = 9 V / 450 Ω = 20 mA and delivers P = V · I = 9 V × 0.02 A = 180 mW.
Current through a resistor is strictly proportional to the voltage difference across its two terminals: I = (Va − Vb) / R. It is non-polarized.
How to connect: Place in series with loads (such as LEDs or Zener diodes) to limit current, or in pairs across a supply to form a voltage divider.
Worked Example: Example: To limit a 2.0 V LED to 10 mA from a 5 V supply: R = (5 − 2.0) / 0.01 A = 300 Ω (choose standard 330 Ω). Power: P = (0.01)² × 330 = 33 mW (safe for a 250 mW ¼ W resistor).
When wired as a rheostat (variable resistance between nodeA and nodeB), R_eff = R_total × (wiper / 100).
How to connect: Connect in series with a fixed minimum stopper resistor (e.g., 100 Ω) so turning the knob to 0% never shorts the supply.
Worked Example: Example: A 1 kΩ potentiometer set to α = 50% gives R_eff = 500 Ω. In series with a 220 Ω protection resistor, total resistance is 720 Ω.
An open switch drops the full available loop voltage across its open contacts while passing 0 mA. A closed switch passes loop current with negligible voltage drop (≈ 0 V).
How to connect: Place in series on the high-side (between VCC and load) to control power delivery to the circuit branch.
Worked Example: Example: In a 5 V LED circuit, opening SW1 makes I = 0 mA; measuring across SW1 with a voltmeter reads 5.00 V because the anode side sits at 5 V and the load side drops to 0 V.
Unlike a resistor, an LED has an exponential I–V curve. Once forward voltage reaches Vf, its dynamic resistance drops to a few ohms and it cannot limit its own current.
How to connect: Connect Anode (nodeA, triangle base) toward positive potential and Cathode (nodeB, bar) toward GND, ALWAYS in series with a current-limiting resistor.
Worked Example: Example: Red LED (Vf = 1.9 V) with R = 330 Ω on a 5.0 V supply: V_R = 5.0 − 1.9 = 3.1 V, so I = 3.1 V / 330 Ω = 9.39 mA (bright, safe operation below 20 mA max).
When V(Anode) − V(Cathode) ≥ 0.7 V, the depletion barrier collapses and current flows. When reverse-biased, only negligible leakage current flows.
How to connect: Place in series with the positive supply input for reverse-polarity protection, or across inductive loads (cathode to +V) as a flyback protection diode.
Worked Example: Example: A 5.0 V supply passes through a series 1N4007 protection diode (Vf = 0.7 V) to a 430 Ω resistor: downstream node voltage is 5.0 − 0.7 = 4.3 V, and current is 4.3 / 430 = 10.0 mA.
Common misconceptions & corrections
“Ground absorbs excess current like a drain.” — Current returning to the reference node must equal the current leaving the supply terminal.
“A node is a single point dot on the drawing.” — An entire connected conductor network between component terminals is one single electrical node.
Learning outcomes, prerequisites & transfer question
- Identify electrical nodes on a schematic regardless of wire shape or layout.
- Explain why node voltage requires a declared 0 V reference node (GND).
- Trace a complete closed loop from positive supply back to reference.
Transfer check: In the healthy 5 V LED circuit (V_A = 1.9 V relative to GND), what does a voltmeter read if you place the black COM probe on VCC and the red probe on node A?
It reads V_A − V_VCC = 1.9 V − 5.0 V = −3.10 V. The magnitude is the voltage drop across R1, and the negative sign shows node A is lower than VCC.