Displacement Current and Copper Wire

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Homework Help Overview

The discussion revolves around a physics problem involving a copper wire carrying an electric current, exploring concepts related to electric fields, displacement current, and magnetic fields. The problem includes calculations of uniform electric fields, rates of change of electric fields, and the significance of displacement current in the context of Ampère's law.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to calculate the uniform electric field, the rate of change of the electric field, and the displacement current density. They express confusion regarding the calculation of the magnetic field and the contributions from conduction and displacement currents.

Discussion Status

Some participants have provided partial calculations and expressed confusion about specific parts of the problem, particularly regarding the magnetic field calculations. There is an indication that one participant resolved their confusion about the magnetic field contributions, while another participant seeks guidance on the formulas needed to approach the problem.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is a hint that assumptions about the material properties, such as the permittivity of copper, are being discussed.

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Hello guys. I gave this one the good ol effort and seem to have gotten stuck. Can anyone help?
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A copper wire with a circular cross-section area of 1.5 mm2 carries a current of 11 A. The resistivity of the material is 2.1 × 10-8 ·m. a) What is the uniform electric field in the material? b) If the current is changing at the rate of 4800 A/s, at what rate is the electric field in the material changing? c) What is the displacement current density in the material in part (b)? (Hint: Since K for copper is very close to 1, use =0.) d) If the current is changing as in part (b), what is the magnitude of the magnetic field 8.8 cm from the center of the wire? Note that both the conduction current and the displacement current should be included in the calculation of B. Is the contribution from the displacement current significant?


Okay I solved a) b) and c)

a) .154v/m
b)67.2v/M*s
c)5.94989E-10 A/m^2

now trying to get the last part

I got id=(jd)A

id=(5.94989E-10)*(1.5E-6)=8.92483E-16

And generalized version of Amepre's law states

Line integral of B*dl=mu-0(ic+id)

ic=(dE/dt)*(A)*(e-0)=8.92483E-16

So the Bc part is Bc=(ic/(2*pi*.088m)) = 2.0283E-21

And I got the same thing for Bd

Confused

Anyone? THANKS!
 
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Please :) Need this last part to solve the rest
 
Last edited:
Nevermind I just got it, I did the Bd part correctly and Bc was to use 11A for the current.
 
Excuse me..anyone can teach how to solve this question? I need to know what is the formula to use when solve the question. Please help...
 
Last edited:

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