Transformers: Stepping Voltage Up and Down

See how a transformer steps a voltage up or down. Alternating current in the primary coil makes a changing magnetic field in the iron core, and that field induces a voltage in the secondary coil. The voltages follow the turns, so the secondary voltage is the primary voltage times the secondary turns divided by the primary turns, while the current changes the other way and the power stays almost the same. Watch the field in the core swing back and forth and the two voltages on one graph. A second view sends a fixed amount of power down a cable and compares the heat lost with and without stepping the voltage up, which is why power lines use high voltage. Set the voltage, the turns on each coil, the load, the efficiency and the mains frequency. For instance, 12 V across 100 turns into 500 turns gives 60 V.

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Requires Orbit

What you can adjust

Primary voltage
1 – 240 V

The alternating voltage (rms) put across the primary coil. It starts at a safe 12 V. Household supplies are 230 V or 240 V.

Primary turns
10 – 1000 turns

How many times the wire of the primary coil goes round the iron core. The coils are drawn with fewer loops than the real count, but more turns always show as more loops.

Secondary turns
10 – 2000 turns

How many times the wire of the secondary coil goes round the core. More secondary turns than primary turns steps the voltage up, fewer steps it down.

Load resistance
1 – 1000 Ω

The resistance connected to the secondary coil, such as a lamp or a heater. A smaller resistance draws more current. It is used by the single transformer view; the cable view sends a set amount of power instead.

Efficiency
80 – 100 %

The share of the power taken from the supply that reaches the secondary. The rest warms the core and the wires. A good transformer is above 95%, and 100% is the ideal case with nothing lost.

Mains frequency
50 – 60

How many times a second the supply reverses direction: 50 Hz in most countries, 60 Hz in others. The picture is slowed down so you can see each swing.

What to show
0 – 1

Single transformer shows the voltages, currents and power at the secondary. Sending power down a cable sends 24 W along a cable of 1 Ω (a small power line; if the source voltage is very low the power is reduced so that no more than a quarter is lost) and compares the heat lost in the cable with and without the transformer.

About this simulation

What it shows

An alternating supply drives the primary coil of an iron-core transformer, and a second coil feeds a load. The field in the core swings back and forth, and a graph shows both voltages on one scale. A second view sends power down a cable and compares the heat lost with and without stepping up.

The key idea

A changing current in one coil makes a changing magnetic field, which induces a voltage in the other. The voltage follows the turns: secondary voltage = primary voltage × secondary turns ÷ primary turns. High voltage means small current, so less heat is lost in a cable.

Try this

Run the defaults: 12 V across 100 turns into 500 turns gives 60 V. Set Secondary turns to 50 for 6 V. Set What to show to the cable: 4 W is lost at 12 V but 0.16 W at 60 V.

A transformer only works with a changing current, so direct current from a battery makes no steady voltage in the secondary. The coils are drawn with fewer loops than the real turns, and the picture is slowed down 100 times at 50 Hz (120 times at 60 Hz) so that you can see each swing. Voltages are rms; the graph shows the peaks, which are 1.41 times larger. The cable view sends 24 W along a cable of 1 Ω, a small power line, and the transformer's own loss is left out of that comparison; if the source voltage is very low the power is reduced so the cable never loses more than a quarter of it. The load resistance is not used in the cable view.