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Lesson 1 of 5Electronics and Digital Logic
Unit 4 · Lesson 1 of 5

Voltage, Current, Resistance and Power

The four quantities every circuit question is built from, the one equation linking them, and how to work safely.

4 min read10 practice questionsInteractiveAsk AI about this →

Key things to remember

  1. 1, and its rearrangements and .
  2. 2.
  3. 3Convert to base units (V, A, Ω) before substituting: 20 mA = 0.020 A, 4.7 kΩ = 4700 Ω.
  4. 4Voltmeter in parallel; ammeter in series; ohmmeter with the power off.
  5. 5Mains in Canada is 120 V AC at 60 Hz. Everything in this course is DC.
  6. 6About 30 mA through the chest can be fatal — current does the harm, voltage drives it.

Electric current is the flow of charge through a conductor, measured in amperes. Voltage is the electrical pressure pushing that charge — properly, the energy given to each coulomb passing through. Resistance is how hard a material makes it for charge to move. The water analogy is imperfect but useful: voltage is the pressure, current is the flow rate, and resistance is the narrowness of the pipe. What matters is that these three are locked together by one equation, so knowing any two always gives you the third.

QuantitySymbolUnitMeasured withConnected
VoltageVvolt (V)VoltmeterIn parallel, across the component
CurrentIampere (A)AmmeterIn series, broken into the circuit
ResistanceRohm (Ω)OhmmeterAcross the component, power OFF
PowerPwatt (W)Calculated, or a wattmeter—
Three meter rules that stop you destroying equipment
A voltmeter goes in parallel (across) — it has very high resistance. An ammeter goes in series (in line) — it has almost zero resistance, so connecting one across a battery creates a dead short and blows its fuse. An ohmmeter needs the circuit powered off and the component ideally isolated, because it supplies its own test current.
Cover the quantity you want; what is left is the formula.VIRV = IR · I = V/R · R = V/IPVIP = VI · also P = I²R = V²/RUnits: volts (V), amperes (A), ohms (Ω), watts (W). Milliamps must become amps before you substitute.
Fig 1Cover the quantity you want; what remains is the formula.

Ohm's law

One relationship, three rearrangements. Volts, amps, ohms — always convert to base units first.
Convert prefixes before substituting
The single biggest source of wrong answers here is substituting milliamps or kilohms directly. 20 mA = 0.020 A. 4.7 kΩ = 4700 Ω. 1 µA = 0.000001 A. Convert first, calculate second, then convert the answer back to whatever unit the question wants.

Power

Power is the rate at which electrical energy is converted into something else — heat, light, motion. It is what determines whether a component gets warm or catches fire, so it is the quantity that decides component ratings. Three forms exist, and they are all the same equation with Ohm's law substituted in.

Use whichever form matches the two quantities you already know.

Every resistor has a power rating, commonly ¼ W for through-hole parts. Exceed it and the resistor overheats, drifts in value, and eventually fails — sometimes open-circuit, sometimes as a small fire. Calculating dissipation is therefore not an academic exercise; it is how you choose the part.

PrefixSymbolMultiplierExample
megaM× 1 000 0002.2 MΩ = 2 200 000 Ω
kilok× 1 0004.7 kΩ = 4700 Ω
(base)—× 15 V
millim× 0.00120 mA = 0.020 A
microµ× 0.000001470 µF = 0.000470 F
Loading interactive…
Change any value and watch current, voltage and power follow.

AC, DC and safety

Direct current flows one way at a constant voltage: batteries, USB, the rails inside a computer. Alternating current reverses direction periodically — in Canada, mains supply is 120 V at 60 Hz. Everything in this course is DC. A power supply's job is to convert mains AC into the DC rails electronics need.

What actually hurts you
Current through the body causes harm, not voltage alone — but it takes voltage to drive that current through skin resistance. As little as 30 mA across the chest can be fatal. A 9 V battery cannot push meaningful current through dry skin, which is why bench work at 5–12 V is safe. Mains at 120 V absolutely can, which is why you never open a power supply and never work on live mains.
  • Power down and unplug before changing any wiring. Rebuild, then apply power.
  • Check polarity twice before connecting. Reversed polarity destroys most ICs and electrolytic capacitors instantly.
  • Never exceed a component's rated voltage, current or power.
  • A large capacitor stays charged after power is removed — discharge it through a resistor before touching it.
  • Wear eye protection when cutting leads; trimmed wire ends travel surprisingly fast.
  • Soldering irons run at about 350 °C. Return the iron to its stand every single time, and solder in a ventilated space.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
A 220 Ω resistor is connected across a 9 V supply. Find the current in milliamps and the power dissipated in milliwatts.
Example 2
A device draws 350 mA from a 12 V supply. Find its effective resistance and the power it consumes.
Example 3
A ¼ W resistor is rated at 470 Ω. What is the maximum voltage that can safely be placed across it?

Where marks get lost

  • Substituting milliamps or kilohms straight into without converting to amps and ohms.
  • Connecting an ammeter across a supply instead of in series — it is nearly a short circuit and blows the fuse.
  • Measuring resistance in a live circuit. The ohmmeter supplies its own current and the reading is meaningless.
  • Choosing a resistor by value alone and ignoring its power rating.
  • Saying "voltage kills". Current does the damage; voltage is what drives it through the body's resistance.
  • Forgetting that squares the current — doubling current quadruples the heat.

Flashcards 10

Ohm's law, three forms
Three power formulas
How is a voltmeter connected?
How is an ammeter connected?
+ 6 more

Practice

1
A 330 Ω resistor has 5 V across it. What current flows, in milliamps?
mA
2
A component draws 250 mA at 12 V. What power does it consume, in watts?
W
3
What resistance draws 40 mA from a 9 V supply? Answer in ohms.
Ω
4
A student connects an ammeter directly across a 9 V battery. What happens?
5
Which power formula should you use when you know current and resistance but not voltage?
6
How much power does a 1 kΩ resistor dissipate with 10 V across it, in milliwatts?
mW
7
Why is a 9 V battery safe to hold across your fingers while 120 V mains is not?
8
Express 2.2 kΩ in ohms.
9
Match each quantity to its unit.
Voltage
Current
Resistance
Power
10
A ½ W resistor of 100 Ω is used. What is the maximum current it can safely carry, in milliamps?
mA

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