The equilateral metallic triangle in the figure, with 20 cm on each side, half of this triangle lies in a magnetic field region of 0.10 T. If the intensity of the magnetic field decreases, what is the direction of the current induced in the triangle?
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Explanation:
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Use the expression for the magnetic flux which relates the magnetic field strength, area through which the magnetic field lines will pass through it, and the angle between the normal to the plane of the loop and the magnetic field.
The expression for the magnetic flux through the loop is,
Here, B is the magnetic field strength, A is the area through which the flux is linked, and is the angle between normal to the plane of the loop and the magnetic field.
Area of the triangle through which the magnetic field passes is equal to half the total area of the triangle,
Here, is the area of the triangle.
The angle between the normal to the plane of the loop and the magnetic field is .
Substitute for A and for in .
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