(10%) Problem 9: Consider the circuit depicted in the diagram. E 24.0 V 0.100 Eo

Question

(10%) Problem 9: Consider the circuit depicted in the diagram. E 24.0 V 0.100 Eo 48.0 V 5.0 S2 200 0.500 400 0.20 2 78 E 36.0 V 0.05 h Otheexpertta.com G A 50% Part (a Write the equation which results from applying the loop rule to loop akledcba Grade Summary 0% Deductions Potential 100% 7 8 9 Submissions Attempts remaining: 20 4 5 6 (0%per attempt) detailed view 2 3 Submit Hint The Expert TA I Human-like Grading, Hints: 42 deduction per hint. Hints remaining: 2 Feedback: 5% deduction per feedback. A 50% Part (b) If the current going through the center of the loop is 65 A, what is the current going through the top, in amps?

Explanation / Answer

here,

a)

using KVL in the upper loop

(5 + 0.1 + 20) * i1 - (40 + 0.5) * i2 = E1 - E2

(5 + 0.1 + 20) * i1 - (40 + 0.5) * i2 = 24 - 48 ...(1)

and

using KVL in the lower loop

(0.2 + 0.05 + 78 ) * i3 + (40 + 0.5) * i2 = E3 + E2 - E4

(0.2 + 0.05 + 78 ) * i3 + (40 + 0.5) * i2 = 6 + 36 - 48 ....(2)

and

using KCL

i1 + i2 = i3 ...(3)

b)

from (1),(2) and (3)

i1 = - 0.5 A

i2 = 0.28 A

i3 = - 0.22 A

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