Question:

In toroid magnetic field on axis will be radius = 0.5 cm, current = 1.5A, turns = 250, permeability = 700.

Updated On: Jul 28, 2022
  • 7.5 Tesla
  • 10.5 Tesla
  • 4.5 Tesla
  • 15.5 Tesla
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The Correct Option is B

Solution and Explanation

$B=\mu o\mu r\left[\frac{N}{2\pi r}\right]I$ $B=700\times4\pi\times10^{-7}\left[\frac{250\times100}{2\times\pi\times0.5}\right]\times1.5$ $=\frac{1400\times10^{-7}\times10^{3}\times1.5}{0.5}$ $= 75 ??1400 ??10^{-4}$ Tesla $= 75 ??14 ??10^{-2}$ Tesla $= 1050 ??10^{-2}$ Tesla = 10.5 Tesla
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Concepts Used:

Magnetic Field

The magnetic field is a field created by moving electric charges. It is a force field that exerts a force on materials such as iron when they are placed in its vicinity. Magnetic fields do not require a medium to propagate; they can even propagate in a vacuum. Magnetic field also referred to as a vector field, describes the magnetic influence on moving electric charges, magnetic materials, and electric currents.

A magnetic field can be presented in two ways.

  • Magnetic Field Vector: The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.
  • Magnetic Field Lines: An alternative way to represent the information contained within a vector field is with the use of field lines. Here we dispense with the grid pattern and connect the vectors with smooth lines.

Properties of Magnetic Field Lines

  • Magnetic field lines never cross each other
  • The density of the field lines indicates the strength of the field
  • Magnetic field lines always make closed-loops
  • Magnetic field lines always emerge or start from the north pole and terminate at the south pole.