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Question:
The magnetic fields at two points on the axis of a circular coil at distance of 0.05 m and 0.2 m
from the centre are in the ratio 8 :1 . The radius of the coil is
The magnetic fields at two points on the axis of a circular coil at distance of 0.05 m and 0.2 m
from the centre are in the ratio 8 :1 . The radius of the coil is
Updated On: May 14, 2024
- 0.2 m
- 0.15 m
- 0.1 m
- 0.01 m.
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The Correct Option is C
Solution and Explanation
$\frac{B_1}{B_2} \frac{(r^2 + x_2^2)^{3/2}}{(r^2 + x_1^2)^{3/2}} \, i.e. \frac{8}{1} = \frac{(r^2 + 20^2)^{3/2}}{(r^2 + 5^2)^{3/2}} \, i.e. \, r $ = 0.1 m
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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.
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