☰ Year plan · Science

Electric current (B): cells, resistance and symbols

Week 7 · Lesson 1 Electric Current (B): cells in series and in parallel, electric resistance, fixed and variable resistors, the factors that affect resistance, circuit symbols · 3 lessons
1

Cells in series and in parallel

Science Prep 3 Term 1, Unit 2: pp. 41–45
GoalFind the total emf of identical cells joined in series and in parallel, and say why each arrangement is used.
New words
in series · joined one after another, the positive of one cell to the negative of the nextin parallel · joined with all the positive poles together and all the negative poles togetherbattery · a group of cells joined together
Explanation

One cell gives only a limited emf, which sometimes is not enough for a device, so cells are joined. In series, the cells form a chain, the positive pole of one touching the negative pole of the next, and the total emf is the sum: n identical cells of ε volts give n × ε. Four cells of 1.5 V give 6 V. In parallel, all the positive poles are joined together and all the negative poles are joined together, and the total emf is the emf of one cell: four 1.5 V cells in parallel still give 1.5 V. A torch uses cells in series to get a large emf. Cells in parallel do not give a higher voltage, but they can supply current for longer: a power bank is built from cells in parallel so that it can charge a phone more than once. Careful: four cells in parallel are not “four times more powerful” and the emf of a battery is not the same thing as the current.

−+−+−+three cells in series
Worked examples
Five cells of 2 V each are joined in series. The total emf is 5 × 2 V = 10 V.
A toy needs 9 V. Cells of 1.5 V are joined in series. Number of cells = 9 V ÷ 1.5 V = 6 cells.
JoiningTotal emf of n cells of εUse
seriesn × εa large emf (torch)
parallelεlasts longer
Six cells of 3 V are joined in parallel. The emf is that of one cell, 3 V, not 18 V. The benefit is that the cells share the work and last longer.
Class activity

Cells in a holder, with a grown-up. Use AA cells in a holder and a torch bulb. First one cell, then two cells in series (the bulb is brighter), then two cells in parallel (the brightness is the same as one cell, but it lasts longer: do not run it for long). Switch on for a few seconds only. Never connect a wire straight across a cell. Do not use phone chargers or power banks. Record what you see in a table.

Practice
1
Four cells of 1.5 V in series: what is the total emf?
2
Three 2 V cells are joined in parallel. What is the total emf?
3
Why does a torch use cells in series?
4
Why is “four cells in parallel are four times as powerful” not correct?