BeginnerTopic 21 of 106Electrical Engineering

Faraday's law

A changing flux induces EMF, ε=-dΦ/dt.

In depth

The induced EMF equals the rate of change of flux linkage: ε=-N dΦ/dt. It explains generators, transformers and inductive sensors. Motional EMF ε=BLv for a conductor moving through a field.

Key points

  • Change B, area or angle
  • Eddy currents are induced in solid metal
  • Basis of electric power generation
Example

A coil of 100 turns with flux changing 0.01 Wb in 0.1 s produces 10 V.

Why it matters

Faraday's law is the basis of all generators, transformers and induction heaters, because it shows how changing flux creates voltage.

Where this is used

  • Designing the coil of a generator to produce a required EMF.
  • Sensing speed with a magnetic pickup on a gear.
  • Calculating the voltage induced in a coil moved through a magnet.

Frequently asked questions

What is Faraday's law?

A changing flux induces EMF, ε=-dΦ/dt.

Why is it important to understand faraday's law?

Faraday's law is the basis of all generators, transformers and induction heaters, because it shows how changing flux creates voltage.

What makes the EMF larger in Faraday's law?

More turns in the coil and a faster change in the flux, which is why high-speed generators produce higher voltages.

Why is a steady magnetic field not enough to induce EMF?

Without a change in the flux through the loop, there is no induced EMF, so the field must vary or the coil must move.

How is Faraday's law used in practice?

Typical applications include designing the coil of a generator to produce a required EMF, sensing speed with a magnetic pickup on a gear and calculating the voltage induced in a coil moved through a magnet.

What should I learn before Faraday's law?

Study "Magnetic fields" first (topic 20 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.

What are the key points of Faraday's law?

Change B, area or angle. Eddy currents are induced in solid metal. Basis of electric power generation.

Can you give an example of Faraday's law?

A coil of 100 turns with flux changing 0.01 Wb in 0.1 s produces 10 V.

What comes after Faraday's law?

The next topic is "Lenz's law", which builds directly on this one.

How difficult is Faraday's law?

It is classed as Beginner in Electrical Engineering (topic 21 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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