42eXplore
Thematic pathfinders and reference tools for classrooms

Electricity

Charge in motion, and the three quantities that describe it.

Electricity is the presence and flow of electric charge. Almost all school electricity reduces to three quantities and the relationship between them.

QuantitySymbolUnitIs
CurrentIAmpere (A)Rate of charge flow
VoltageVVolt (V)Energy per unit charge; the push
ResistanceROhm (Ω)Opposition to flow

Ohm's law

V = I × R

The water analogy is imperfect but useful: voltage is pressure, current is flow rate, resistance is pipe narrowness. It breaks down for anything involving fields or semiconductors, so retire it early rather than build on it.

Series and parallel

SeriesParallel
PathOne routeMultiple routes
CurrentSame everywhereDivides between branches
VoltageDivides across componentsSame across each branch
If one breaksEverything stopsOthers keep working
Total resistanceSum of the partsLess than the smallest

Household wiring is parallel, which is why one failed bulb does not darken the house and why every socket sees the same voltage.

AC and DC

Direct current flows one way, as from a battery. Alternating current reverses periodically — 50 or 60 times a second depending on the country. AC won the distribution argument because transformers can step its voltage up for efficient long-distance transmission and back down for safe use, which is impossible with DC using the technology of the time.