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Chapter 41, Problem 30P
To determine

The shortest wavelength of X-ray.

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The rectangular loop of wire shown in the figure (Figure 1) has a mass of 0.18 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.5 A in the direction shown. Find the magnitude of the magnetic field parallel to the y-axis that will cause the loop to swing up until its plane makes an angle of 30.0 ∘ with the yz-plane. Find the direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until its plane makes an angle of 30.0 ∘ with the yz-plane.
Give a more general expression for the magnitude of the torque τ. Rewrite the answer found in Part A in terms of the magnitude of the magnetic dipole moment of the current loop m. Define the angle between the vector perpendicular to the plane of the coil and the magnetic field to be ϕ, noting that this angle is the complement of angle θ in Part A. Give your answer in terms of the magnetic moment mm, magnetic field B, and ϕ.
Calculate the electric and magnetic energy densities at thesurface of a 3-mm diameter copper wire carrying a 15-A current. The resistivity ofcopper is 1.68×10-8 Ω.m.Prob. 18, page 806, Ans: uE= 5.6 10-15 J/m3 uB= 1.6 J/m3
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