Current in a Resistor network ( 2 parts of part b)

AI Thread Summary
The discussion focuses on calculating the current in a resistor network with given resistances of R1 (5Ω) and R2 (7Ω) and a potential drop of 12V between points a and b. The equivalent resistance was determined to be 6.32Ω. The current through the 6Ω resistor was calculated as 0.56A, while the current through the 5Ω and 7Ω resistors needed clarification, with attempts yielding incorrect values. After reevaluating the lower branch's resistance, the correct current through the 5Ω resistor was found to be 0.67A, leading to a total current of 1.23A through the 7Ω resistor. The key to solving the problem was understanding the current distribution in the network.
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Homework Statement


Consider the resistor network shown in the figure below, where R1= 5\Omega and R2= 7\Omega .
26_51alt.gif


(a) Find the equivalent resistance between points a and b
Req=([1/6 +1/5]+7)+12+6=(9.73)-1+18-1=6.32\Omega

(b) If the potential drop between a and b is 12 V, find the current in each resistor.
I12\Omega=I6\Omegaupper=12/18=2/3A
I6\Omegalower=.56A
I5\Omega=?
I7\Omega=?

Homework Equations


Req=V/(Inet)
I=V/R; resistor in parallel I/2

The Attempt at a Solution


For I6\Omegalower I think I just did V/11\Omega and rounded.
Now for I5\Omega shouldn't it be .53A or the same .56A they both got marked wrong though...
And for I7\Omega shouldn't it be .56A+I5\Omega
wrong answers for I7\Omega:.92A,.615A, 1.09A,.67A I have one more attempt. I want to make it count.
wrong answers for I5\Omega:.56A, 1.23A,.53A 2 more tries.
which I think is more important.

Also the total I would be 1.899A?
 
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If the voltage across ab is 12 V, then isn't the voltage in 6 and R1 resistors also 12V?
 
Check the current for the lower branch again. The 6 and 5 in parallel make 2.727 ohms, right? So the lower branch has resistance 7 + 2.727 and the current should be 12/9.727 = 1.23 A. That's the current through R2. You haven't said what I5 or I7 mean so I don't know what else you are having trouble with.
 
I5 would mean the current threw the 5 ohms resistor and I7 the current threw the 7ohms resistor
 
and for the 6ohms resistor the answer was .56A
 
Ah I got it thanks the current threw the bottom wire was the key. So that would make I5=.67A and I7=I6lower+I5= 1.23A
 
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