The Expert TAI Human x Katy Secure https://u Class Management | Help Homework 4

Question

The Expert TAI Human x Katy Secure https://u Class Management | Help Homework 4 Begin Date: 9/12/2017 12:00:00 AM Due Date: 9/25/2017 11:59:00 PM End Date: 9/25/2017 11:59:00 PM (1296) Problem 8: Consider the circuit in the diagram, with sources of emf listed below 0.10 Randomized Variables 1-21 V 5.0 2002 =7.5 V 050 40 0.20 Assignment Status 78 Click here for detailed view 10.05 h ©theexpertta.com Problem Status 33% Part (a) Find 11 in amps. 1Completed Completed Completed Completed Completed Completed Completed Grade Summary Deductions 0% Potential 10.25 100% cosO 78 9 HONME Submissions sin) cotan asin atan acotan sinO cosh tah cotanh Attempts remaining: 6 (0% per attempt } detailed view acoso Partial Completed 10 Completed Degrees Radians V BACKSPACE DELCLEAR Submit Hint I give up 12 Hints: 2% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback. 3396 Part (b) Find 12 in amps. 33% Part (c) Find 13 in amps. content © 201 7Expert TA, L Type here to search 6:09 PM 9/24/2017

Explanation / Answer

using kirchoff's Voltage law in loop abcdelka

I1 R1 - E1 + I1 r1 + I1 R5 - I2 (R2 + r2) + E2 = 0

I1 (5.10) - 21 + 20 I1 - I2 (40.5) + 47 = 0

25.10 I1 - 40.5 I2 + 26 = 0

I1 = (40.5 I2 - 26)/25.10 eq-1

using KVL in loop aklefghija

- E2 + I2 (R2 + r2) + I3 (r4 + R3 + r3) + E4 - E3 = 0

- 47 + I2 (40.5) + I3 (0.20 + 0.05 + 78) + 39 - 7.5 = 0

- 47 + I2 (40.5) + I3 (0.20 + 0.05 + 78) + 39 - 7.5 = 0

I2 (40.5) + (78.25) I3 - 15.5 = 0

But I3 = I1 + I2

so I2 (40.5) + (78.25) (I1 + I2) - 15.5 = 0

(78.25) I1 + (118.75) I2 = 15.5

using eq-1

(78.25) ((40.5 I2 - 26)/25.10) + (118.75) I2 = 15.5

I2 = 0.394 A

using eq-1

I1 = (40.5 I2 - 26)/25.10 = (40.5 (0.394) - 26)/25.10 = - 0.400 A

also I3 = I1 + I2 = - 0.400 + 0.394 = - 0.006 A

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