(50%) Problem i: Consider the circuit in the figure, with the current directions
ID: 1429858 • Letter: #
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(50%) Problem i: Consider the circuit in the figure, with the current directions defined as shown. There are four resistors in this circuit CR1, R2, R3, and R4) and four batteries with emfs 17 2- 4.5 V, 15 V, and 26.7 V, each with internal resistance given by rias marked in the figure. Randomized variables 17 4.5 15 64 26.7V A 33% Part (a) Calculate the current 12 in amps. sino coso tano 8 9 cotano as 4 5 6 acos0 1 2 3 o Degrees O Radians Hint Feedback Submit I give up! Hints Feedback: A 33% Part (b) Calculate the current 13 in amps. A 33% Part (c) Calculate the current I1 in amps 20 S2 0.52 15 S2 82 6 2 0.5 0.252 0.75 2 Otheexpertta.com Grade Summary Deductions Potential 100% Submissions Attempts remaining: 2 per attempt detailed viewExplanation / Answer
Applying KVL to the left loop
(-i1*R1)-(i3*R2)+E2-(i3*0.25)-(i1*R4)+E1-(0.5*i1) = 0
(20*i1)+(6*i3)+(0.25*i3)+(15*i1)+(0.5*i1) = 17+4.5
35.5*i1+6.25i3 = 21.5...............(1)
Apply KVL to the right loop
(-8*i2)+E3-(i2*0.5)-(0.75*i2)-E4+(0.25*i3)-E2+(6*i3) = 0
9.25*i2 - 6.25*i3 = 15-26.7-4.5 = -16.2 ...........(2)
i1-i2-i3 = 0 .........................(3)
Solving (1),(2) and (3) we get
i1 = 0.381 A
i2 = -0.891 A
i3 = 1.272 A
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