(17%) Problem 6: Consider the circuit in the figure, with the current directions

Question

(17%) Problem 6: Consider the circuit in the figure, with the current directions defined as shown. There are four resistors in this circuit (Ri, R2, R3, and R4) and four batteries with emfs E,-18 V, e,-1.5 V E3 12.5 V and E4-29.1 V each with internal resistance given by ri as marked in the figure 0.5 2 Randomized Variables *1-18 V 82-1.5 V 312.5 V E4 29.1 V 0.52 3 0.252 RA 15 2 0.75 Otheexpertta.con 33% Part (a) Calculate the current 11 In amps Grade Summa Deductions Potential 100% cos0 cotanasin0 tan() | Submissions Sin ts remaining:10 acosO atan acotan sinhO cotanhO (290 per attempt) detailed view END Degrees Radians « Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. -là 3390 Part (b) Calculate the current& in amps -là 33% Part (c) Calculate the current T3 in amps

Explanation / Answer

Here ,

Using KCL at the node b

I1 - I2 - I3 = 0

Using KVL in the left loop

18 - 35.5 * I1 - 6.25 * I3 + 1.5 = 0

in the right loop

18 - 35.5 * I1 - 9.25 * I2 + 12.5 - 29.1 = 0

solving the equations

I1 = 0.126 A

I2 = -2.27 A

I3 = 2.40 A

the current I1 is 0.126 A

part B) the current I2 is -2.27 A

part C) the current I3 is 2.40 A

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