Q: Find formulas for r,θ,φ in terms of x
Find formulas for r,θ,φ in terms of x, y, z (the inverse, in other words, of Eq. 1.62).
See AnswerQ: Two coils are wrapped around a cylindrical form in such a way
Two coils are wrapped around a cylindrical form in such a way that the same flux passes through every turn of both coils. (In practice this is achieved by inserting an iron core through...
See AnswerQ: A transformer (Prob. 7.57) takes an input
A transformer (Prob. 7.57) takes an input AC voltage of amplitude V1, and delivers an output voltage of amplitude V2, which is determined by the turns ratio (V2/ V1 N2/N1). If N2 > N1, the output volt...
See AnswerQ: An infinite wire runs along the z axis; it carries a
An infinite wire runs along the z axis; it carries a current I (z) that is a function of z (but not of t ), and a charge density λ(t) that is a function of t (but not of z). (a) By examining the charge...
See AnswerQ: A rectangular loop of wire is situated so that one end (
A rectangular loop of wire is situated so that one end (height h) is between the plates of a parallel-plate capacitor (Fig. 7.9), oriented parallel to the ï¬eld E. The other end is way...
See AnswerQ: Suppose J(r) is constant in time but ρ(
Suppose J(r) is constant in time but Ï(r, t) is not—conditions that might prevail, for instance, during the charging of a capacitor. (a) Show that the charge density at an...
See AnswerQ: The magnetic field of an infinite straight wire carrying a steady cur
The magnetic field of an infinite straight wire carrying a steady cur- rent I can be obtained from the displacement current term in the Ampère/Maxwell law, as follows: Picture the current as consisting...
See AnswerQ: A certain transmission line is constructed from two thin metal “rib
A certain transmission line is constructed from two thin metal “rib- bons,” of width w, a very small distance h
See AnswerQ: Prove Alfven’s theorem: In a perfectly conducting fluid (say,
Prove Alfven’s theorem: In a perfectly conducting fluid (say, a gas of free electrons), the magnetic flux through any closed loop moving with the ï...
See AnswerQ: (a) Show that Maxwell’s equations with magnetic charge (Eq
(a) Show that Maxwell’s equations with magnetic charge (Eq. 7.44) are invariant under the duality transformation where / and α is an arbitrary rotation angle in â...
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