Intuition The one core idea
Electricity flowing round a loop is like water pushed round a pipe: something pushes it (voltage), some amount flows (current), and something resists the flow (resistance). A multimeter is one tool that measures each of these three — and every symbol on this page exists only to name one of those three ideas, or the tiny letter that scales the number.
Before you can trust a single reading, you must know exactly what every letter, unit, and squiggle means and looks like . We build them one at a time, each from the one before, starting from nothing.
Definition Charge (the "stuff" that flows)
Charge is the invisible electrical "stuff" carried by electrons inside a metal wire. Think of it like tiny marbles that can drift along a copper pipe. We rarely measure charge directly here — but everything else is defined in terms of how charge behaves , so we start with it.
Picture a straight copper wire packed with these marbles. Nothing forces them to move yet, so they just jiggle in place. To make them drift in one direction, we need a push. That push is the first symbol.
V
Voltage is the difference in electrical push between two points. The symbol is V ; the unit is the volt , also written V .
Plain words: how hard the electricity is being shoved from point A to point B.
The picture: the height difference between two ends of a slide — a ball at the top has more "push" than one at the bottom.
Why the topic needs it: voltage is always a difference between two points , which is exactly why you touch two probes to measure it.
Intuition Why "difference" matters
Asking "what is the voltage here ?" is like asking "how high is this step?" without saying above what . You need two points. That single fact is why a voltmeter has two probes and why one probe alone reads nothing meaningful.
Notice we use the same letter V twice: once for the quantity (voltage, the italic V ) and once for the unit (volt, upright V ). Context tells them apart — a number like 1.48 V means "the voltage is 1.48 volts."
I
Current is the rate at which charge flows past a point in the wire — how many marbles pass per second. The symbol is I ; the unit is the ampere (or amp ), written A .
Plain words: how much electricity is flowing.
The picture: litres-per-second of water rushing along a pipe; count how much passes a fixed line each second.
Why the topic needs it: to count flow through a wire, your meter must sit in the wire — in the way of the flow.
Common mistake "Why the letter
I and not C for current?"
Why it feels wrong: current starts with "c", charge would be more obvious.
The reason: I comes from the French intensité (intensity of flow). It is a fixed historical convention — memorise I = current and move on.
Look at the figure: to measure the flow, the meter is inserted across a cut in the pipe , so all the water is forced through it. This is why current is measured in series — you break the loop and become part of it.
R
Resistance is how strongly a component opposes the flow of current. The symbol is R ; the unit is the ohm , written with the Greek capital omega Ω (it looks like a horseshoe).
Plain words: how narrow or clogged the pipe is.
The picture: a pinch-point in a hose — the tighter the pinch, the less water gets through for the same push.
Why the topic needs it: components (resistors, LEDs, wires) each oppose flow differently; measuring R tells you if a part is the right value or broken.
Ω (omega)
Ω is just a letter from the Greek alphabet chosen to stand for "ohm". Read 470 Ω as "four hundred seventy ohms". Do not confuse it with the number zero — it is a horseshoe shape open at the bottom.
Now that we have all three symbols (V , I , R ), we can state the single relationship that connects them. See Ohm's Law for the full build.
Intuition Why the multimeter needs this
A digital multimeter is, deep down, a voltage measurer . To read current it measures a voltage across a known resistor and rearranges the law to I = V / R . To read resistance it forces a known current and rearranges to R = V / I . All three modes are the same law, solved for a different unknown — that is the whole trick.
We can rearrange the one law three ways:
A raw number like "5" is meaningless in this topic. The small letter next to the number scales it. This scaling is covered fully in Metric Prefixes and Engineering Notation .
Definition Prefix = a multiply-or-divide shortcut
A prefix is a single letter placed before the unit that multiplies or divides the number by a power of ten. It saves writing long strings of zeros.
Common mistake Big M vs little m
Why it's confusing: they are the same letter in different cases.
The rule: capital M = mega = ×1,000,000 (big). Lowercase m = milli = ÷1000 (small). μ (Greek "mu") = micro = ÷1,000,000 (tiny). Case matters absolutely.
DC (Direct Current): the push stays steady in one direction (a battery). Picture a flat horizontal line over time.
AC (Alternating Current): the push swings back and forth (wall socket). Picture a wave going up and down.
Why the topic needs it: the meter has separate DCV and ACV settings. Choosing the wrong one gives nonsense. Battery/regulated supply → DCV; wall/adapter → ACV.
Definition Series vs parallel — where the probes go
Series ("in line"): components sit end-to-end so the same current passes through each. To measure current you insert the meter in series — you break the loop. See Series and Parallel Circuits .
Parallel ("across"): components sit side-by-side across the same two points , so they share the same voltage. To measure voltage you place the meter in parallel — across the part.
Definition Loading — why a meter can lie
When a meter draws a little current of its own, it slightly changes what it's trying to read. A good voltmeter fights this with a huge internal resistance (~10 M Ω ) so it steals almost no current. This is the loading effect — explored in Loading Effect and Meter Accuracy and rooted in Internal Resistance of Sources .
Charge - the stuff that flows
Ohms Law V equals I times R
Resistance R - the opposition
Meter modes DCV ACV mA Ohm
Read the number correctly
Read Multimeter Measurements
Test yourself — cover the right side and answer before revealing.
The symbol V and its unit Voltage, measured in volts (V); the electrical push, always a difference between two points.
The symbol I and its unit Current, measured in amperes/amps (A); the rate of charge flow through a wire.
The symbol R and its unit Resistance, measured in ohms (Ω); how strongly a component opposes current.
The one law linking all three Ohm's Law, V = I × R , rearranged as I = V / R and R = V / I .
What 1 k Ω equals in ohms 1000 Ω (kilo = ×1000).
What 1 mA equals in amps 0.001 A (milli = ÷1000).
Difference between M and m Capital M = mega = ×1,000,000; lowercase m = milli = ÷1000.
DC vs AC in one line DC = steady one-direction push (battery); AC = swinging back-and-forth push (wall socket).
Series vs parallel connection Series = in line, same current through each; parallel = across the same two points, same voltage.
Reading "0.47" on the 20k range 0.47 k Ω = 470 Ω — always multiply digits by the range's prefix.