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As shown in the figure, a single conducting wire is bent to form a loop in the form of a circle of radius r concentrically inside a square of side a, where a:r=8:π. A battery B drives a current I through the wire. If the battery B and the gap G are of negligible sizes, determine the strength of magnetic field at the common centre O.

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Important Questions on Magnetic Effect of Current

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A circular loop of radius r of conducting wire connected with a voltage source of zero internal resistance produces a magnetic field B at its centre. If instead, a circular loop of radius 2r, made of same material, having the same cross-section is connected to the same voltage source, what will be the magnetic field at its centre?
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A light charged particle is revolving in a circle of radius r in electrostatic attraction of a static heavy particle with opposite charge. How does the magnetic field B at the centre of the circle due to the moving charge depend on r ?
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A current I is flowing along an infinite, straight wire, in the positive Z- direction and the same current is flowing along a similar parallel wire 5 m apart, in the negative Z- direction. A point P is at a perpendicular distance 3 m from the first wire and 4 m from the second. What will be the magnitude of the magnetic field B of P?

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A uniform current is flowing along the length of an infinite, straight, thin, hollow cylinder of radius R. The magnetic field B produced at a perpendicular distance d from the axis of the cylinder is plotted in a graph. Which of the following figures looks like the plot?