Two circular coils and magnetic fields

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Two concentric circular coils can produce a net magnetic field of zero at their center, depending on their configurations. The inner coil has 5 turns and a radius of 10.00 cm, while the outer coil has 3 turns and a radius of 13.8 cm. To determine the outer current's magnitude and direction when the inner current is 2.00 A and counterclockwise, the relationship between the number of turns and radius must be clarified. The discussion raises a question about whether to multiply or divide the number of turns by the radius, indicating a misunderstanding of the principles involved. Understanding these relationships is crucial for solving the problem accurately.
lovelylm1980
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I have been driving myself crazy trying to figure out this problem, for a while now. I just can't get the right answer. should the number of turns be multiplied or divided by the radius? Please help me out.


Two circular coils, concentric and lying in the same plane, produce magnetic fields such that the net magnetic field is zero at the center. The number of turns and radius are 5 and 10.00 cm for the inner coil, and 3 and 13.8 cm for the outer coil. What is the magnitude and direction (positive for counterclockwise, negative for clockwise) of the outer current if the inner current is 2.00 A and counterclockwise ?
 
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Originally posted by lovelylm1980
should the number of turns be multiplied or divided by the radius?
Why would you think that you needed to do either one?
 

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