Transformer

Fields
definition

Also known as: step-up transformer, step-down transformer

Grade 9-12

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A device that changes AC voltage using electromagnetic induction between two coils on a shared iron core. Transformers make the entire electrical grid possible.

Definition

A device that changes AC voltage using electromagnetic induction between two coils on a shared iron core.

๐Ÿ’ก Intuition

A transformer trades voltage for current (or vice versa) โ€” like a gear system trades speed for torque.

๐ŸŽฏ Core Idea

Transformers only work with AC โ€” the changing current in the primary coil creates a changing magnetic flux that induces voltage in the secondary.

Example

Power lines carry electricity at 500,000 V. A transformer near your house steps it down to 120 V (or 230 V) for safe use.

Formula

\frac{V_s}{V_p} = \frac{N_s}{N_p} where V is voltage and N is number of turns (s = secondary, p = primary).

Notation

V_p and V_s are the primary and secondary voltages in volts, N_p and N_s are the number of turns, I_p and I_s are the primary and secondary currents in amperes, and \Phi is the magnetic flux in webers (Wb).

๐ŸŒŸ Why It Matters

Transformers make the entire electrical grid possible. Power stations step voltage up to 500,000 V for long-distance transmission (reducing current and I^2R heat losses by a factor of thousands), then substations step it back down for homes and businesses. Without transformers, electricity could only travel short distances efficiently.

๐Ÿ’ญ Hint When Stuck

When solving a transformer problem, first identify the primary and secondary coils and their turn counts N_p and N_s. Then use the turns ratio V_s/V_p = N_s/N_p to find the unknown voltage. If asked about current, apply power conservation: V_p I_p = V_s I_s (assuming an ideal transformer).

Formal View

For an ideal transformer, the voltage ratio equals the turns ratio: V_s / V_p = N_s / N_p, and power is conserved: V_p I_p = V_s I_s. The changing current in the primary creates a time-varying flux \Phi in the shared core, inducing an EMF in the secondary by Faraday's law.

Related Concepts

๐Ÿšง Common Stuck Point

A transformer doesn't create energy โ€” if voltage goes up, current goes down proportionally (power is conserved).

โš ๏ธ Common Mistakes

  • Trying to use a transformer with direct current (DC) โ€” transformers only work with alternating current because they rely on a changing magnetic flux.
  • Forgetting that power is conserved: if the secondary voltage is higher, the secondary current must be lower, not the same.
  • Mixing up primary and secondary โ€” the primary coil is connected to the input (source), the secondary to the output (load).

Frequently Asked Questions

What is Transformer in Physics?

A device that changes AC voltage using electromagnetic induction between two coils on a shared iron core.

What is the Transformer formula?

\frac{V_s}{V_p} = \frac{N_s}{N_p} where V is voltage and N is number of turns (s = secondary, p = primary).

When do you use Transformer?

When solving a transformer problem, first identify the primary and secondary coils and their turn counts N_p and N_s. Then use the turns ratio V_s/V_p = N_s/N_p to find the unknown voltage. If asked about current, apply power conservation: V_p I_p = V_s I_s (assuming an ideal transformer).

Prerequisites

How Transformer Connects to Other Ideas

To understand transformer, you should first be comfortable with faradays law and generator.