In the figure, point P is at perpendicular distance R = 2.27 cm from a very long

Question

In the figure, point P is at perpendicular distance R = 2.27 cm from a very long straight wire carrying a current. The magnetic field B set up at point P is due to contributions from all the identical current-length elements i along the wire. What is the distance s to the element making (a) the greatest contribution to field B and (b) 11.0% of the greatest contribution?

Chapter 29, Problem 006 In the figure, point P is at perpendicular distance R 2.27 cm from a very long straight wire carrying a current. The magnetic field B set up at point P is due to contributions from all the identical current ength elements ids along the wire. What is the distance s to the element making (a) the greatest contribution to field B and (b)11.0% of the greatest contribution? Pe s Wire (a) Number Units (b) Number Units

Explanation / Answer

dB = uo*iRds/4pi*(s^2+R^2)^3/2

part a)

for maximum B = s = 0

s = 0 m

part b )

dB = dBmax/11

s = sqrt(11^2/3 -1) *R

s = 4.509 cm = 0.045 m

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