Question Details: (a) Find the network resistance R AB . Answer in units of . (b

Question

Question Details:


(a) Find the network resistance RAB.    Answer in units of .


(b) Let the current through the resistor network be 30mA.    Find the magnitude of the current(I5) between junctions C and D.    Answer in units of mA.




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THANKS Question Details: Consider the resistor network shown. (a) Find the network resistance RAB. Answer in units of ohm. (b) Let the current through the resistor network be 30mA. Find the magnitude of the current(I5) between junctions C and D. Answer in units of mA.

Explanation / Answer

First, apply the loop rule to the left mesh:
-22i1 + 22i2 = 0
i1 = 22/22*i2
i1 = i2
Use the point rule to junction A:
30 mA = i1 + i2
30= i1 + i1
30 = 2*i1
i1 = 15
do the same for the second loop on theright mesh:
-44i3 + 88i4 =0
i4 = (1/2)*i3
Use the point rule for junction B:
i3 +i4 = 30 mA
i3+ (1/2)*i3 = 30
(3/2)*i3 = 30
i3 = 20
Now use the point rule at junction 3 to figure outI5:
i3 = i1+ I5 I5 = i3- i1
I5 = 20-15 = 5mA

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