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bmbuncher
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Homework Statement
Find the magnetic field generated at the center of a coil of wire with N turns, a radius of r, and a current I running through it
Relevant equations
B=μ0nI, where n=N/L (L is the total length of the coil)
The attempt at a solution
B=μ0nI
B=μ0I(N/L)
L=2πrN
B=(μ0NI)/(2πrN)
B=(μ0I)/(2πr)
However, the correct answer is:
B=(μ0I)/(2r)
Why is this? Thank you!
Find the magnetic field generated at the center of a coil of wire with N turns, a radius of r, and a current I running through it
Relevant equations
B=μ0nI, where n=N/L (L is the total length of the coil)
The attempt at a solution
B=μ0nI
B=μ0I(N/L)
L=2πrN
B=(μ0NI)/(2πrN)
B=(μ0I)/(2πr)
However, the correct answer is:
B=(μ0I)/(2r)
Why is this? Thank you!
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