LEVEL 0 / WORKBENCH ESSENTIALS / LESSON 05

Resistance & continuity

Always de-energize the circuit and isolate the component before measuring ohms.

25 minutesInteractive lessonPreview · review pending
DE-ENERGIZED TESTING

The meter injects its own tiny test current.

In Ω or continuity mode, the DMM applies a small internal voltage and measures the resulting current to calculate resistance. External circuit voltage corrupts that calculation and can stress the meter's protection.

Power off, discharge capacitors, isolate one leg.

Measuring a resistor while it remains connected in parallel with other components measures the equivalent network resistance, not the resistor alone.

R_measured = V_meter_test / I_meter_testExternal voltage V_ext ≠ 0 invalidates R = V_test / I_test; the simulator blocks Ω readings while powered.

Three things to notice

  1. What OL really means. OL stands for Over-Limit (resistance higher than the selected range)—typical for an open wire or broken trace.
  2. Continuity buzzer is a threshold check. A continuity beep means resistance is below the meter's threshold (often a few tens of ohms—consult your manual), not necessarily 0.00 Ω.
  3. Never use diode thresholds as universal rules. Different DMM models use different test currents; red/blue LEDs may exceed a meter's diode-test compliance voltage.

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.

Step-by-Step Design Calculation — Given:

Supply Vs = 5.0 V, Red LED forward drop Vf = 1.9 V, Series resistor R1 = 330 Ω, Switch SW1 = Closed.

  1. 1. Apply Kirchhoff's Voltage Law (KVL) around the loop: V_R1 = Vs − Vf = 5.0 V − 1.9 V = 3.10 V.
  2. 2. Apply Ohm's Law to R1: I = V_R1 / R1 = 3.10 V / 330 Ω = 0.00939 A = 9.39 mA.
  3. 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
DC Voltage Source (VS) (VS · V)

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.

Fixed Resistor (R) (R · Ω)

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).

Potentiometer / Variable Resistor (RV) (RV · Ω)

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.

SPST Toggle Switch (SW) (SW · state)

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.

Light-Emitting Diode (LED) (D · V (Vf))

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).

Silicon Rectifier Diode (1N4007 / 1N4148) (D · V (Vf))

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

“You can measure resistance while the circuit is running to save time.” — Live voltage drives external current into the DMM's ohm circuit, producing nonsense numbers or tripping protection.

“OL means zero resistance.” — Zero resistance reads near 0.0 Ω; OL means infinite/over-range resistance (an open path).

Learning outcomes, prerequisites & transfer question
  • Explain why resistance and continuity tests require all external power to be off and capacitors discharged.
  • Distinguish between 0 Ω (continuous wire), finite ohms (resistor), and OL (open loop).
  • Avoid parallel sneak-path errors by lifting at least one component lead when measuring in-circuit.

Transfer check: A 330 Ω ±5% resistor is measured out of circuit with power off. What range of ohm readings confirms the part is within manufacturer tolerance?

5% of 330 Ω is 16.5 Ω, so any reading between 313.5 Ω and 346.5 Ω (plus minor meter uncertainty) is within specification.

Let’s experiment