Chapter 21 Homework Begin Date: 6/25/2015 12:00:00 AM Due Date: 7/7/2015 12:00:0

Question

Chapter 21 Homework Begin Date: 6/25/2015 12:00:00 AM Due Date: 7/7/2015 12:00:00 AM End Date: 7/12/2015 12:00:00 AM (17%) Problem 9: Consider the circuit in the figure, with the current directions defined as shown. There are four resistors in this circuit (R1, R2, R3, and R4) and 82 20 2 four batteries with emfs El 15 V, 1.5 15 and 27.6 V, each with internal resistance given r, as marked in the figure 0.5 2 62 Randomized Variables 15 S 0.5 1.5 0.252 15 27.6 0.75 2 15 2 A 33% Part (a) Calculate the current 12 in amps. Grade Summary Deductions 100% Potential sino cos0 tan0 7 S 9 HOME Submissions cotan asino acoso Attempts remaining: 10 4 5 6 0% per attempt atano acotano s detailed view cosh00 tanh0 Cotanho Degrees O Radians Submit Hints: 0% deduction per hint. Hints remaining: 3 Feedback: 0% deduction per feedback. A 33% Part (b) Calculate the current 13 in amps A 33% Part (c) Calculate the current 11 in amps

Explanation / Answer

Let's use KVL mesh with I1 on left and I2 on right

15 - 20.5(I1) -6( I1- I2) +1.5 -0.25( I1-I2)- 15I1 =0

which on solving gives

16.5 - 41.75I1 + 6.25 I2=0---------eq(1)

Using KVL mesh on right hand side

-1.5 +6( I2 - I1)- 8I2 +15 + 1.25 I2 -27.6 + 0.25( I2-I1)=0

which on solving gives

-14.1 -5.75I1 +7.5I2=0------eq(2)

solving eq(1) and eq(2), gives

I2= 2.466 A apprx

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