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Asked Oct 13, 2019
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Hi, here's my question.

26.28:  In the figure, find (a) the current in each branch and (b) the potential difference Vab of point a relative to point b.

Figure E26.28
2.00 10.00V
3.00
a
-w -
1.00 5.00 V
4.00
w
+
b
10.00
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Figure E26.28 2.00 10.00V 3.00 a -w - 1.00 5.00 V 4.00 w + b 10.00

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Expert Answer

Step 1

(a). Let ‘a’ be the current in the upper branch (right to left), ‘b’ be the current in the middle branch (left to right), and ‘a-b’ be the current in the lower branch.

Apply Kirchhoff’s current law in the circuit containing upper and lower.

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2а + 10а -10b + За %3D10 15а - 10b — 10 За - 26 %3 2

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Step 2

Apply Kirchhoff’s current law in the circuit containing middle and lower.

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-b+10а -10b — 4b %3 5 10а - 15b 3 5 [2] 2а - 3b 3 1

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Step 3

Solve equation ...

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За - 2b — 2 2+ 2b а — 3 2+2b 2 [2] 3b 1 4 4b 9b 3 b 0.2A a 0.8A

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