Displacement Current and Copper Wire

AI Thread Summary
A user seeks assistance with calculating the magnetic field around a copper wire carrying a current while considering displacement current. They successfully determined the uniform electric field, the rate of change of the electric field, and the displacement current density. The user initially struggled with applying Ampère's law to find the magnetic field but later realized the correct approach involved using the actual current of 11 A. They express a need for clarification on the formulas used to solve the problem. The discussion highlights the complexities of electromagnetic theory in practical applications.
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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
 
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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...
 
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