Ch 27 &28 HW Exercise 28.36 C 16 of 37 ) Constants A closely wound, circular coi

Question

Ch 27 &28 HW Exercise 28.36 C 16 of 37 ) Constants A closely wound, circular coil with radius 2.30 cm has 710 turns Part A What must the current in the coil be if the magnetic field at the center of the coil is 0.0790 T? Express your answer to three significant figures and include the appropriate units. 1 4.07 A Previous Answers Correct Part B At what distance r from the center of the coil, on the axis of the coil, is the magnetic field half its value at the center? Express your answer to three significant figures and include the appropriate units. Value Units Submit Request Answer Provide Feedback Next>

Explanation / Answer

2. Magnetic field along axis of N loops carrying current.

(U0*I*N / 2*2*r) =(U0*I*N*r^2) / (2[x^2+r^2]^3/2)

if you solve for x, we get

x = sqrt(2^(2/3)*r^2 - r^2) = sqrt(2^(2/3)*(0.023)^2 - (0.023)^2) = 0.0176 m = 1.76 cm

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