Practice Generator in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A device that converts mechanical energy into electrical energy by rotating a coil in a magnetic field, using electromagnetic induction.

Spin a loop of wire between magnets and you get electricity — the changing flux induces a voltage that drives current through an external circuit.

Example 1

easy
A simple AC generator has a coil of 50 turns, area 0.04 \text{ m}^2, rotating in a 0.5 \text{ T} magnetic field. What is the peak EMF if the coil rotates at 60 \text{ Hz}?

Example 2

medium
A generator produces a peak EMF of 170 \text{ V} at 50 \text{ Hz}. What is the RMS voltage? What frequency is used in the power grid in most countries?

Example 3

medium
A generator coil has 100 turns and area 0.05 \text{ m}^2 in a 0.4 \text{ T} field. It needs to produce a peak EMF of 500 \text{ V}. At what frequency must it rotate?

Example 4

hard
A hydroelectric generator produces 10 \text{ MW} at 20{,}000 \text{ V} RMS. What RMS current does it deliver? If the transmission line has 2 \text{ } \Omega resistance, what percentage of power is lost in transmission?
← Back to Generator Worked Examples