# AC Transformers

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An electrical transformer is a device to change the voltage and amperage of alternating currents. In the simple design shown here, primary wire coils (blue) and secondary coils (red) are wound around a ferromagnetic core. An alternating current in the primary circuit creates a time-dependent magnetic field in the core, which, in turn, induces an alternating current in the secondary circuit, via Faraday's law of electromagnetic induction. The respective rms voltages are in the same ratio as the numbers of turns: . If , this acts as a step-down transformer. Long-distance transmission lines use high voltage and low currents to minimize energy losses. A sequence of step-down transformers then reduces the voltage to household levels (120 volts in the U.S.). If the secondary resistance and induction are negligibly small (simplified model), the primary and secondary currents are given by the reciprocal relation .

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Contributed by: S. M. Blinder (September 2008)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: step-down transformer reducing the rms voltage from 120 to 30 volts

Snapshot 2: step-up transformer increasing the rms voltage from 120 to 240 volts

Snapshot 3: transformer with load in circuit; secondary voltage and current are now out of phase

## Permanent Citation