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.]
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.]
Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 37P: The potential difference V(t) between parallel plates shown above is instantaneously increasing at a...
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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.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc158a850-76a9-4504-97b9-8593e0926539%2Fa286e8cb-968e-4e0e-8d4c-fd28011f019c%2Fckmvfbg_processed.jpeg&w=3840&q=75)
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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