A long, straight wire of length 2L on the y-axis carries a current I. According to the

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A long, straight wire of length 2L on the y-axis carries a current I. According to the Biot-Savart Law, the magnitude of the magnetic field due to the current at a point (a, 0) is given by

Hol sin 0 dy, B(a) 4т --

where μ0 is a physical constant, a > 0, and θ, r, and y are related as shown in the figure.

a. Show that the magnitude of the magnetic field at (a, 0) is MoIl B(a) 2п аVa? + 1

b. What is the magnitude of the magnetic field at (a, 0) due to an infinitely long wire (L →∞)?

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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