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Question Number 196761 by Humble last updated on 31/Aug/23

A tightly wound toroidal coil with a square  cross section and an inner radius of 15cm has  500 turns of copper wire and carries an insulated  filamentary ccurrent of 0.800A. what is the  strength of the magnetic field inside the  toroid at the inner radius?

$$\mathrm{A}\:\mathrm{tightly}\:\mathrm{wound}\:\mathrm{toroidal}\:\mathrm{coil}\:\mathrm{with}\:\mathrm{a}\:\mathrm{square} \\ $$$$\mathrm{cross}\:\mathrm{section}\:\mathrm{and}\:\mathrm{an}\:\mathrm{inner}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{15cm}\:\mathrm{has} \\ $$$$\mathrm{500}\:\mathrm{turns}\:\mathrm{of}\:\mathrm{copper}\:\mathrm{wire}\:\mathrm{and}\:\mathrm{carries}\:\mathrm{an}\:\mathrm{insulated} \\ $$$$\mathrm{filamentary}\:\mathrm{ccurrent}\:\mathrm{of}\:\mathrm{0}.\mathrm{800A}.\:\mathrm{what}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{strength}\:\mathrm{of}\:\mathrm{the}\:\mathrm{magnetic}\:\mathrm{field}\:\mathrm{inside}\:\mathrm{the} \\ $$$$\mathrm{toroid}\:\mathrm{at}\:\mathrm{the}\:\mathrm{inner}\:\mathrm{radius}? \\ $$

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