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Chapter 29, Problem 47CP

A wire carrying a current I is bent into the shape of an exponential spiral, r = eθ, from θ = 0 to θ = 2π as suggested in Figure P29.47. To complete a loop, the ends of the spiral are connected by a straight wire along the x axis. (a) The angle β between a radial line and its tangent line at any point on a curve r = f(θ) is related to the function by

tan β = r d r / d θ

Use this fact to show that β = π/4. (b) Find the magnetic field at the origin.

Figure P29.47

Chapter 29, Problem 47CP, A wire carrying a current I is bent into the shape of an exponential spiral, r = e, from  = 0 to  =

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Chapter 29 Solutions

Bundle: Physics For Scientists And Engineers With Modern Physics, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Multi-term

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