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Safari File Edit View History Bookmarks Window Help 20% D Fri Feb 27 4:18 PM a E webassign net Mathway I Graphing Calculator Step by Step Calculator Symbolab Chegg.com k S #6 3. 0/3 points I Previous Answers My Notes C+ Ask Your Teacher In the circuit shown in the figure, R n, R 12 n, and R 20 n, Vemf1 11 V, and Vermf,2 14 V. Using Kirchhoff's Loop and Junction Rules, determine the currents i1, 2, and 13 flowing through R R2 and R3, respectively, in the direction indicated in the figure. 0.352 A emf 1 emf 2. Additional Materials LA Section 26 4. 2 points I Previous Answers My Notes Ask Your Teacher

Explanation / Answer

The junction equation...

i1 +i2 = i3

Top loop Clockwise...

-11 + 14 + 6i1 - 12i2 = 0

6i1 - 12i2 = -3

Bottom loop Clockwise

-14 + 12i2 + 20i3 = 0

12i2 + 20i3 = 14

Sub in i3 from the junction equation here

12i2 + 20i1 + 20i2 = 14

32i2 + 20i1 = 14

The top loop equation is...6i1 - 12i2 = -3

Solve for i1

6i1 = -3 + 12i2

i1 = -.5 + 2i2

Sub that in for the the i1 above...

32i2 + 20(-5 + 2i2) = 14

32i2 - 10 + 40i2 = 14

72i2 = 24

i2 = .333 Amps

Then i1 = -.5 + 2(.333)

i1 = .167 Amps

Then i3 = 12(.333) + 20i3 = 14

i3 = .5 Amps

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