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Problem 3 - Olympiad
A circular loop of radius R carries a current I. What is the magnetic field at the center of the loop if it has N turns?
A. μ₀NIR²/(4πR³)
B. μ₀NIR/(2R)
C. μ₀NI/(2R)
D. μ₀NI/(2πR³)
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Correct: C
For a single-turn loop, the magnetic field at the center is B = μ₀I/(2R). For N turns, the field is multiplied by N. Thus, B = μ₀NI/(2R).