In your new engineering job, you are requested to design a loop which will provide a maximum magnetic field of 50mT (milliTesla) at the center of the loop.  The design specifications are that it must have a radius of 30 cm, and that it have a maximum current current of 130 A.  Q) Given these specifications, determine the minimum number of turns that will produce a a 50 mT field at its center given the above specifications

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In your new engineering job, you are requested to design a loop which will provide a maximum magnetic field of 50mT (milliTesla) at the center of the loop.  The design specifications are that it must have a radius of 30 cm, and that it have a maximum current current of 130 A. 

Q) Given these specifications, determine the minimum number of turns that will produce a a 50 mT field at its center given the above specifications

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The magnetic field at the center of the circular loop is given by

Advanced Physics homework question answer, step 1, image 1

Where N = number of turns of the loop, I = Current in the loop, R = Radius of the loop, 

            Advanced Physics homework question answer, step 1, image 2 = Magnetic permeability of free space = 4π × 10- 7 T.m.A- 1

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