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An infinitely long straight conductor is bent into the shape as shown in figure. It carries a current of I A and the radius of the circular loop is r m. Then the magnetic induction at the centre of the circular part is 

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Important Questions on Moving Charges and Magnetism

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In the given figure, the wires are infinitely long. The magnetic field (in T) at Centre P will be

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The magnitude of magnetic field at O (Centre of the circular part) of the current carrying coil as shown is 

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A and B are two concentric circular conductors of centre O and carrying current i1 and i2, respectively as shown in the figure. If the ratio of their radii is 1:2 and the ratio of the flux densities at O due to A and B is 1:3, then the value of i1i2 will be

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Two concentric coils, each of radius equal to 2π cm, are placed at right angles to each other. Currents 3 A and 4 A are flowing in each coil, respectively. The magnetic induction (in Wb m-2) at the centre of the coils will be  μ0=4π×10-7 Wb A m-1,
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A linear small part of a circuit PQ is situated on x axis from x=-a2 to x=+a2 and a current I is flowing through it. The magnetic field produced due to part PQ at point x=+a will be

 

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Magnetic field at point P due to given current distribution is 

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The magnetic field due to a straight conductor of uniform cross section of radius a and carrying a steady current is represented by
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The current density J inside a long solid cylindrical wire of radius a=12 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J=J0ra where, J0=1054π A m-2. Find the magnitude of the magnetic field at r=a2in μT.