The above shows two loop currents with radii of and respectively, on the same plane. The current intensities are the same, which is and flow in opposite directions. What is the correct direction of the magnetic field at position which is the center of the two loops?
Note: A( ) means magnetic field into the plane, and B( ) means magnetic field out from the plane.
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its actually simple....greater magnetic field is produced at pt o by the first loop as the magnetic field is actually kinda inversly related to the powers of constant....so by applying right hand thumb rule we curl our fingers to the direction of current and its INTO THE PLANE>>>simple. Field at the centre of a current carrying loop is given by right hand curl rule, where the curl is direction of current and the thumb shows the direction of force of field. The influence of the loop with radius 'r' directs the force into the plane and the loop with radius '2r' directs the force upward the plane. Since the loop with radius 'r' is nearer to the centre it exerts a greater force. Thus the net force is into the plane. field at centre of current carrying loop = uI/2r ( u = 4pi * 10^-7)