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23 Nov 2019

The figure shows the arrangement known as the Helmholtz Coil. Itconsists of two circular coaxial coils, each of N turns and radiusR. The coils are separated by a distance s=R and they both carryequal currents i. A) derive the equation for the magnitude ofmagnetic field in the midpoint P between the coils. B) show thatthe first derivative of the magnitude of the net magnetic field ofthe coils (dB/dx) vanishes at the midpoint P regardless of thevalue of s. C) show that the second derivative (d^2)B/(dx)^2 alsovanishes at the Midpoint P, provided that s=R

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