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Magnitude of the electric field in a copper wire. 
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#1
Oct2212, 05:35 PM

P: 9

1. The problem statement, all variables and given/known data
In the circuit shown, two thick copper wires connect a 1.5 V battery to a Nichrome wire. Each copper wire has radius R = 7 mm and is L = 18 cm long. Copper has 8.4 × 10^28 mobile electrons per cubic meter and an electron mobility of 4.4×10^−3 (m/s)/(V/m). The Nichrome wire is l = 5 cm long and has radius r = 3 mm. Nichrome has 9 × 10^28 mobile electrons/m3 and an electron mobility of 7 × 10^−5 (m/s)/(V/m). What is the magnitude of the electric field in the copper wire? Answer in units of N/C 2. Relevant equations [itex]\bar{v}[/itex][itex]_{thin}[/itex]=(A[itex]_{thick}[/itex]/A[itex]_{thin}[/itex])[itex]\bar{v}[/itex][itex]_{thick}[/itex] [itex]\bar{v}[/itex] = uE E=V/L 3. The attempt at a solution I plug in my known values, but I have two unknowns, the electric fields. I'm not sure how to use these equations. 


#2
Oct2212, 10:22 PM

Homework
Sci Advisor
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Thanks ∞
P: 12,403

You also know other stuff: that ##2V_{Cu}+V_{Ni}=1.5V## for example.
You also know all kinds of physics about the drift velocity, resistance, current etc. to draw on. http://en.wikipedia.org/wiki/Drift_velocity 


#3
Oct2212, 11:07 PM

P: 9

I had figured it out for a while now but thanks anyway. I just had to use the electron current formula and the voltage loop formula (as you stated); Plug in numbers, solve for efield and plug in to the other equation.



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