Charge and Current
Define electric charge and current, use Q = It and describe conventional current in circuits.
Electric charge
All matter contains charged particles.
What is current?
Electric current is the rate of flow of charge.
Because the current is the rate of flow of charge, a larger current means more charge passes each second.
The equation
Q = I t
Q is charge in coulombs (C), I is current in amperes (A) and t is time in seconds (s). Rearranged, I = Q/t and t = Q/I. Always convert minutes to seconds and mA to A before substituting. For a current of 2.0 A for one minute, Q = 2.0 × 60 = 120 C.
Conventional current and electron flow
Before electrons were discovered, current was defined as flowing from the positive terminal of a cell, round the circuit, to the negative terminal. This conventional current direction is still used on circuit diagrams. The electrons in a metal actually move the opposite way, from negative to positive. In circuit questions always use the conventional direction unless asked about electrons.
The direction arrow on a circuit symbol such as a diode or an LED points the way conventional current flows.
- but the electric field travels through the whole wire almost instantly,
- which is why a lamp comes on straight away when a switch is closed.
Circuits and measuring current
A current needs a complete, conducting loop and a source of energy such as a cell or battery.
- because charge cannot be created or destroyed or pile up at one point.
- (see the series and parallel lessons)
When reading an ammeter, check the scale and range, and note the units. A digital ammeter may display in mA. If the reading is negative, the meter has been connected the wrong way round, but this does not damage the circuit.
Cells, batteries and direct current
A cell supplies direct current (d.c.), where the current always flows one way.
- and you should be able to draw simple series and parallel circuits using a ruler.
Worked examples
Worked example 1. A current of 0.50 A flows through a lamp for 2.0 minutes. How much charge passes?
t = 2.0 × 60 = 120 s.
Q = It = 0.50 × 120 = 60 C.
Worked example 2. A phone charger delivers a charge of 7200 C in 1.0 hour. Find the average current.
t = 3600 s.
I = Q/t = 7200/3600 = 2.0 A.
Worked example 3. How long does it take for 45 C to pass through a wire carrying 15 mA?
I = 15 mA = 0.015 A.
t = Q/I = 45/0.015 = 3000 s = 50 minutes.
Key terms
| Term | Meaning |
|---|---|
| Charge | Property of matter causing electric forces, measured in coulombs. |
| Current | Rate of flow of charge, in amperes. |
| Ampere | One coulomb per second. |
| Conventional current | Direction from positive to negative terminal. |
| Ammeter | Meter placed in series that measures current. |
| Coulomb | Unit of charge, 1 A × 1 s. |