Unit 8 · Electricity and Magnetism

Combining Cells: Series and Parallel

ScienceSubject
15 minEstimated read

These cells can be connected into an electric circuit in various ways. Look carefully at the two pictures below and you will see the difference straight away: in one the cells are lined up nose to tail in a single row, and in the other they sit side by side with loops of wire joining their ends.

On the left three cells taped end to end in a straight line with wires at each end, and on the right three cells standing separately with looped wires joining them
Figure 8.12: Ways of connecting cells together
Definition

The method in which two or more cells are used together is the combination of cells. Combination of cells can generally be done in two ways: series combination and parallel combination.

Series combination

A series combination can be made by joining the negative pole of one cell to the positive pole of the second cell, and the negative pole of the second cell to the positive pole of the third cell, in order.

Four cells standing upright in a row, each with a plus at the top and a minus at the bottom, joined by wires from the bottom of one to the top of the next
Figure 8.13: Series connection

Parallel combination

The parallel combination of cells is made by connecting the negative poles of two or more cells to one side and the positive poles to the other side.

Four cells standing side by side, all with their plus ends at the top joined by one wire and all their minus ends at the bottom joined by another wire
Figure 8.15: Parallel connection
How to tell them apart in one glance

Do not learn these as two definitions to be recited, because there is a single question that separates them instantly. Look at where two neighbouring cells are joined and ask: are the poles that meet the same, or opposite? In a series combination the poles alternate, so the negative of one always meets the positive of the next, and the whole row runs nose to tail like people standing in a queue. In a parallel combination all the like poles are joined together, so every positive goes to one wire and every negative goes to the other, and the cells sit side by side like people standing in a line facing you. That is the whole difference, and it is exactly what Activity 8.2 asks you to look for inside the cell box of a torch, a wall clock and a television remote. Once you can do that test in a second, everything else in this topic follows from it.

What each arrangement actually buys you

The same three cells, joined two different ways SERIES: nose to tail, in one line 1.5 V 1.5 V 1.5 V 4.5 V 1.5 + 1.5 + 1.5 Brighter, because the pushes add up But every cell does the full work, so they run down no more slowly than one would PARALLEL: side by side, like poles joined each 1.5 V 1.5 V No brighter, because the push is unchanged But the three cells share the work, so they keep the bulb going about three times as long Series buys you brightness. Parallel buys you time. You cannot have both.
Figure 8.15a: Three cells in series and the same three in parallel

In a series combination, as cells go on being added the voltage goes on increasing. That is, the total voltage is equal to the sum of the voltages of all the cells. Three cells of 1.5 volts joined in series therefore give 4.5 volts, and a bulb connected to them glows more brightly than it would with one cell.

From a parallel connection the bulb lights for a very long time. When cells are connected in parallel, however many cells you increase them to, the brightness of the bulb does not increase. In this arrangement the electric pressure does not increase, but the time for which the electricity flows does increase. In a parallel combination the total voltage of the circuit is equal to the voltage of each single cell.

 Series combinationParallel combination
How the cells are joinedNegative of one to positive of the next, in a single lineAll the positives to one wire, all the negatives to the other
Total voltageThe sum of all the cells: 1.5 + 1.5 + 1.5 = 4.5 VThe same as one cell: 1.5 V, however many you add
Brightness of the bulbIncreases as more cells are addedDoes not change at all
How long it lastsAbout the same as a single cell wouldMuch longer, since the cells share the work
Used when you wantMore push: a brighter bulb, a device needing higher voltageMore endurance: a small steady current for a long time
Why the two arrangements do such different things

The book tells you what happens but not why, and the why is easy once you picture the cells as people. In a series combination the cells stand one behind the other, all pushing the same load in the same direction, like three people pushing one cart in a line. Every push adds to the push in front of it, so the total push, which is what voltage measures, is three times as big. But notice what else is true: the whole load passes through every single person, so nobody is spared any work and all three tire at about the same rate as one person would. In a parallel combination the cells stand side by side and each takes its own share of the same load, like three people carrying one heavy sack between them. The push is no greater than one person could manage, so the bulb is no brighter, but each person is only doing a third of the work, so all three last about three times as long. Series adds the pushes. Parallel shares the work. There is no arrangement that does both, and that is not a limitation of the wiring, it is simple arithmetic.

Uses of the series combination of cells

aThis kind of combination is useful for increasing the brightness of a bulb.
bThis combination is used in many appliances, including torches, radios and remotes.

Uses of the parallel combination of cells

aThis connection is used in order to make a cell or a battery last for a long time.
bSuch a combination can be used where a small current has to be drawn steadily for a long time.

Worked example: choosing the right combination

You have a torch that needs 3 volts of electricity, and two cells of 1.5 volts each. What kind of combination should you make, and what is the benefit of doing it that way?

StepWorking
What is needed3 V, and each cell gives only 1.5 V
Which combination adds voltages?Only series. In parallel the total would stay at 1.5 V
Check the arithmetic1.5 + 1.5 = 3 V, which is exactly what the torch needs
How to join themNegative pole of the first cell to the positive pole of the second
The benefitThe torch gets the full 3 V it was designed for, so the bulb is properly bright

A radio that needs 3 volts and has two 1.5 volt cells is exactly the same problem with a different appliance, and the answer is the same: join them in series so that the voltages add. Now try the reverse question. Suppose you had a clock that needs only 1.5 volts, but you wanted it to run for as long as possible on two cells. Series would give it 3 volts, which is twice what it wants and may damage it. Parallel keeps the voltage at 1.5 volts, which is correct, and makes the pair last roughly twice as long as one cell would. So the arrangement is not chosen by habit; it is chosen by asking what the appliance needs.

One cell the wrong way round cancels another

Here is a useful consequence of the rule that series voltages add. If two 1.5 volt cells are joined in series the correct way, negative to positive, the total is 3 volts. But if one of them is put in the other way round, the two cells are now pushing against each other, and instead of adding you have to subtract: 1.5 minus 1.5 leaves 0 volts, and the torch does absolutely nothing. This is the reason a torch with one cell reversed behaves exactly like a torch with flat cells, and it is worth checking before you throw away perfectly good cells. It also explains why every cell box has a small plus and minus printed inside it. Those markings are not decoration. They are telling you which way round each cell has to face so that the pushes add instead of fighting.

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