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Electric and Magnetic Fields

Magnetic flux density, flux and flux linkage

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Overview

Recall questions on flux density and its unit, magnetic flux and flux linkage, and how field strength is shown on a field-line diagram.

What you need to know

Answer each one before you reveal it.

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Numbers

What are the units of magnetic flux density and magnetic flux, and how is field strength shown on a field-line diagram?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by magnetic flux density?

    Model answer

    It is the force acting per unit current per unit length on a straight conductor placed at right angles to the field, B = F/(Il).

  2. 2

    What is the unit of magnetic flux density and how does it relate to base units?

    Model answer

    The tesla, T, where 1 T = 1 N A⁻¹ m⁻¹, which in base units is 1 kg A⁻¹ s⁻².

  3. 3

    What is meant by magnetic flux?

    Model answer

    It is the product of the magnetic flux density and the area at right angles to the field, φ = BA cos θ.

  4. 4

    What is the unit of magnetic flux?

    Model answer

    The weber, Wb, where 1 Wb = 1 T m².

  5. 5

    What is meant by flux linkage?

    Model answer

    It is the product of the flux through a coil and the number of turns on the coil, Nφ, measured in weber-turns.

  6. 6

    How is the flux through a coil affected as the coil is rotated in a fixed magnetic field?

    Model answer

    The flux is BA cos θ, where θ is the angle between the field and the normal to the coil, so it is a maximum when the field is along the normal and zero when the field lies in the plane of the coil.

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