MoIow a E(s, t) = sin(wt) In 2π (²) 2. (a) Find the displacement current density Ja. (b) Integrate it to get the total displacement current, Id = = = √ Ja · da. (c) Compare Ia and I. (What's their ratio?) If the outer cylinder were, say, 2 mm in diameter, how high would the frequency have to be, for Id to be 1% of I? [This problem is designed to indicate why Faraday never discovered displacement currents, and why it is ordinarily safe to ignore them unless the frequency is extremely high.]

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Chapter1: Units, Trigonometry. And Vectors
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MoIow
a
E(s, t) =
sin(wt) In
2π
(²) 2.
(a) Find the displacement current density Ja.
(b) Integrate it to get the total displacement current,
Id = =
= √ Ja · da.
(c) Compare Ia and I. (What's their ratio?) If the outer cylinder were, say, 2 mm in
diameter, how high would the frequency have to be, for Id to be 1% of I? [This
problem is designed to indicate why Faraday never discovered displacement
currents, and why it is ordinarily safe to ignore them unless the frequency is
extremely high.]
Transcribed Image Text:MoIow a E(s, t) = sin(wt) In 2π (²) 2. (a) Find the displacement current density Ja. (b) Integrate it to get the total displacement current, Id = = = √ Ja · da. (c) Compare Ia and I. (What's their ratio?) If the outer cylinder were, say, 2 mm in diameter, how high would the frequency have to be, for Id to be 1% of I? [This problem is designed to indicate why Faraday never discovered displacement currents, and why it is ordinarily safe to ignore them unless the frequency is extremely high.]
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