(50%) Problem i: Consider the circuit in the figure, with the current directions

Question

(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 view

Explanation / Answer

Here,

Using KCL at the node b

I1 - I2 - I3 = 0 -----(1)

Using KVL in the left loop

E1 - (0.5 + 20 + 15) * I1 - I3 * (6 + 0.25) + E2 = 0

35.5 I1 + 6.25 I3 = 21.5 ----(2)

Using KVL in the right loop

- I3 * (6 + 0.25) + E2 + E4 - E3 + (8 + 0.5 + 0.75) * I2 = 0

-9.25 I2 + 6.25 I3 = 16.2 ----(3)

solving 1 , 2 , 3

I1 = 0.381 A

I2 = -0.891 A

I3 = 1.272 A

a) the current I2 is -0.891 A

b) the current I3 is 1.272 A

c)the current I1 is 0.381 A

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