Imagine two concentric nested infinite solenoids having the same number of turns per unit length, but with radii R and 2R, respectively, and carrying currents I in opposite directions. Calculate the magnetic fielda. in the region inside both solenoids,b. in the region between the solenoids (Hint: the answer is |Bvector| = μ0 * I * N / L), andc. in the region outside the solenoids.Assume that the thickness of current-carrying regions are negligible. Note that the magnetic field inside and outside an infinite solenoid with N turns of length L is Bvector = Bz * zhat, where Bz = 0 outside and Bz = μ0 * I * N / L inside its hollow interior.

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University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 81AP: A long, straight, cylindrical conductor contains a cylindrical cavity whose axis is displaced by n...

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Imagine two concentric nested infinite solenoids having the same number of turns per unit length, but with radii R and 2R, respectively, and carrying currents I in opposite directions. Calculate the magnetic field

a. in the region inside both solenoids,

b. in the region between the solenoids (Hint: the answer is |B_vector| = μ₀ * I * N / L), and

c. in the region outside the solenoids.

Assume that the thickness of current-carrying regions are negligible. Note that the magnetic field inside and outside an infinite solenoid with N turns of length L is B_vector = B_z * z_hat, where B_z = 0 outside and B_z = μ₀ * I * N / L inside its hollow interior.

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