2D Transformer: Mutual Induction & Efficiency |…

What Is Mutual Induction?

Mutual induction occurs when a change in magnetic flux through one coil induces an electromotive force (EMF) in another nearby coil. This phenomenon, described by Faraday's law of electromagnetic induction, is the basis for how transformers operate.

In a transformer, the primary and secondary coils are wound around a common iron core, creating a shared magnetic field. When current flows through the primary coil, it generates a changing magnetic flux that induces an EMF in the secondary coil.

Transformer Operation & Voltage Transformation

The voltage transformation ratio (Vs/Vp) between the secondary and primary coils is directly proportional to their turns ratios. This relationship, expressed as Vs = Vp * Ns/Np, where Ns and Np are the number of turns in the secondary and primary coils respectively, allows for step-up or step-down transformations based on the desired output voltage.

The current transformation ratio (Is/Ip) is inversely proportional to the turns ratio: Is = Ip * Np/Ns. This ensures that power remains constant across the transformer under ideal conditions.

live demo · related simulation● LIVE

Efficiency in Transformers

Real transformers have losses due to resistive heating (I²R) and magnetic core losses (hysteresis and eddy currents). These losses reduce the overall efficiency of the transformer. The efficiency is given by η = Pout/Pin, where Pout is the output power and Pin is the input power.

By toggling between an ideal lossless transformer and a real one with copper and core resistances, you can observe how these losses affect the transformer's performance and overall efficiency.

Real-World Applications

Transformers are crucial in power distribution systems, converting high-voltage transmission to lower voltages for residential use. They also play a vital role in electronic devices like phone chargers, where they step down the voltage from an AC outlet to a safe level for charging.

In industrial settings, transformers can be used for both stepping up and stepping down voltages to match the requirements of different machinery and equipment.

Frequently asked questions

How does mutual induction work in a transformer?

Mutual induction works by creating a changing magnetic flux through one coil, which induces an EMF in another nearby coil due to the shared magnetic field. This principle allows transformers to transfer electrical energy from one circuit to another.

What are the main losses in a real transformer?

Real transformers experience resistive heating (I²R) and core losses (hysteresis and eddy currents). These losses reduce efficiency, with I²R losses occurring due to resistance in the windings and core losses due to magnetic properties of the core material.

Why is transformer efficiency important?

Efficiency is crucial because it determines how much power is actually delivered to the load. Higher efficiency means less energy is wasted as heat, making transformers more economical and environmentally friendly.

Can a transformer change both voltage and current simultaneously?

Yes, a transformer can change both voltage and current. The turns ratio determines the voltage transformation, while the current transformation is inversely related to it. Together, they ensure that power remains constant across the transformer under ideal conditions.

Try it live

Everything above runs in your browser — open 2D Transformer — Mutual Induction & Efficiency and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.

▶ Open 2D Transformer — Mutual Induction & Efficiency simulation