(10%) Problem 5: Consider the circuit in the diagram, with sources of emf listed

Question

(10%) Problem 5: Consider the circuit in the diagram, with sources of emf listed below. the in the with of emf listed Randomized Variables 6 29 V 5.02 47 85 45 78 Q A 33% Part (a) Find I1 in amps. sino cos0 tan0 8 9 4 5 6 cotano asin0 acos0 1 2 3 atan0 acotan sinh0 cosh0 tanh0 cotanh Degrees O Radians BACKSPACE Hint Feedback I give up! Submit Hints: 3 deduction per hint. Hints remaining: Feedback: 5% deduction per feedback. A 33% Part (b) Find 12 in amps A 33% Part (c) Find 13 in amps. 0.102 20 S2 0.50 2 400 0.20 2 J i 0.05 h Otheexpertta.com Grade Summary Deductions Potential 100% Submissions Attempts remaining: 3 per attempt) detailed view

Explanation / Answer

From KCL,

l3 = l1 + l2

Apply KVL for the lopp abcde,

-l1R1 + E1 - l1r1 - l1R5 + l2R2 + l1r2 - E2 = 0

E2 - E1 = l2(R2 + r2) - l1(R1 + r1 + R5)

18 = 40.5*l2 - 25.1*l1 ........(1)

Apply KVL for the loop aegj,

l3R3 - E3 + l3r3 + E4 + l3r4 + l2R2 + l2r2 - E2 = 0

E2 + E3 - E4 = l3*(R3 + r3 + r4) + l2*(R2 + r2)

10.5 = 78.25*(l1 + l2) + 14.5*l2

10.5 = 78.25*l1 + 118.75*l2 ............(2)

By solving equation (1) and (2)

l1 = -0.2784 A

l2 = 0.2718 A

l3 = 0.0066 A

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