Battery Stack: Adding Up Voltages

An educational simulation game. Slide cells into a holder, read the voltmeter, and light a lamp. Predict the voltage of cells in a row, with one turned round, and side by side, the energy a battery gives the charge it moves, and the fewest cells for 9 V.

VoltageCells in series

BATTERY STACK

A stack of four

Ready
Enable JavaScript to stack the cells. The instructions and worked example remain readable.
Current I, from + to −Electrons (−), moving the other wayWiresYour prediction
VoltageV = ΣV_cell, W = Q·V

Time

0.00 s

t

Voltmeter

— V

V

Current in the lamp

— A

I = V ÷ R

Lamp power

— W

P = V·I

Charge moved

— C

Q = I·t

Predict before you start

Type your prediction to set things up. Start stays off until there is an answer.

Predict the voltages and the energy.

Mission score—

Every answer must be within 2%, and the number of cells exactly right: each earns 100 points. Getting it right on the first run adds 50. A run counts as soon as it starts.

✓ Right answer① First try

How to play Battery Stack

  1. Choose a test and read the cells and how they sit on the card.
  2. Add voltages in a row, subtract a flipped cell, take one cell's voltage side by side, and use W = Q·V for energy.
  3. Type your prediction and press Start. The cells slide in, the voltmeter reads, and the switch closes.
  4. Compare the voltmeter, the lamp, and the staircase with your orange prediction.

Voltage and cells

A cell lifts every coulomb of charge that goes through it to a higher potential, by its voltage: a 1.5 V cell gives each coulomb 1.5 J. Put cells in a row, each + end touching the next − end, and the lifts add up like the steps of a staircase, which is why a torch with four 1.5 V cells runs on 6 V. Turn one cell round and it becomes a step down, cancelling one of the others. Put identical cells side by side and they all join the same two points, so the voltage stays that of one cell, though they can keep the current going for longer. A battery's voltage tells the energy it gives the charge it moves: W = Q·V, so a 9 V battery gives 9 J to each coulomb. Cells only come whole, so to reach a voltage you round up to the next cell.

A focused learning model

The cells are ideal, with no internal resistance, so the voltage never changes with the current; the wires are ideal, the voltmeter takes no current, and the lamp is a fixed resistance. The cells click into the holder one after another over 2 s and count once fully in; the switch closes at 2.5 s, and the current is steady at once. In the energy test the switch is closed from 1 s to 3 s with 0.25 A flowing. The lamp glows in step with its power. The electron dots move at a speed in step with the current, not at the real drift speed, which is far slower. Answers within 2% are right; the number of cells must be exact.

Changing language keeps your test, prediction, attempts, and run.