Question

A single-coil loop of radius r = 7.00 mm, shown below, is formed in the middle...

A single-coil loop of radius r = 7.00 mm, shown below, is formed in the middle of an infinitely long, thin, insulated straight wire carrying the current i = 37.0 mA.
prob11_wireloop.gif
What is the magnitude of the magnetic field at the center of the loop?

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Answer #1

the equation for magnetic field due to wire is

B = uo i/ 2pi r

magnetic field due to circular loop is

B = uo i/ 2 r

B net = uo i/ 2pi r+ uo i/ 2r

= 2 * 10^-7 ( 0.037)/7* 10^-3) + 2 pi * 10^-7 ( 0.037)/7* 10^-3)

= 4.37 * 10^-6 T

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