← Parallel and combined circuits

Branch currents add up to the supply current

At a junction, the current splits: some charge takes one branch, the rest takes the other. What must the two branch currents add up to?

Here is a battery driving two lamps on parallel branches. An ammeter next to the battery reads 0.5 A.

A0.5 AL1L2
The battery supplies 0.5 A. At the junction the current splits. How much takes each branch?

Ammeters in the branches settle it. They read 0.3 A and 0.2 A.

A0.5 AA0.3 AL1A0.2 AL2
The branches carry 0.3 A and 0.2 A. And 0.3 + 0.2 = 0.5.

Compare the three readings: 0.3 A + 0.2 A = 0.5 A. That is the rule, seen in numbers.

The currents in the branches of a parallel circuit add up to the current through the source.

Which rule describes the current in a parallel circuit?

Follow the current around. The battery supplies 0.5 A. At the junction, the current splits: 0.3 A flows into the first branch, and 0.2 A flows into the second. At the far junction the branch currents rejoin, and 0.5 A flows back to the battery.

Point in the circuitCurrentat the battery0.5 Abranch with L10.3 Abranch with L20.2 Arejoined, back to the battery0.5 A
At the far junction the branch currents rejoin: 0.3 A + 0.2 A = 0.5 A flows back to the battery.

Notice the split is not equal. In this circuit one branch carries 0.3 A and the other 0.2 A. Only the total is fixed by the rule.

The branches of a parallel circuit carry 0.8 A and 0.6 A. What current does the battery supply?

Write down the rule:

The branch currents add up to the supply current.

Add the branch currents:

0.8 A + 0.6 A = 1.4 A

The battery supplies 1.4 A.

The branches of a parallel circuit carry 0.6 A and 0.9 A. What current does the battery supply, in A?

A third branch carrying 0.5 A is added, and the first two branches still carry 0.8 A and 0.6 A. What current does the battery supply now?

The rule covers every branch: the branch currents add up to the supply current.

Add all three branch currents:

0.8 A + 0.6 A + 0.5 A = 1.9 A

The battery supplies 1.9 A.

The battery of a two-branch parallel circuit supplies 2.0 A. Which pair of branch currents is possible?

Compare the two circuit types. In a series circuit, the current is the same at every point. In a parallel circuit, the branch currents add up to the supply current.

Your turn

Parallel branches carry 0.7 A and 0.5 A. What current does the battery supply, in A?

A battery supplies 1.8 A to two identical lamps in parallel. What current flows through each lamp, in A?

In a two-branch parallel circuit, which part of the circuit carries the largest current?