(14%) Problem 2: Consider the circuit in the diagram, with sources of emf listed

Question

(14%) Problem 2: Consider the circuit in the diagram, with sources of emf listed below Randomized Variables 61-29 V 0.102 Ri 5.0 2 20 0.50 63 8.5 V 4 37 V 40 0.20 2 78 9 0.052 h Otheexpertta.com 33% Part (a) Find 11 in amps Grade Summary 0% 100% Potential tan ) cosO cotanOasin) acos) atan)acotan)sinhO coshOtanh) cotanh0 Degrees O Radians sin Submissions Attempts remaining:5 (0% per attempt) detailed view 0 Submit I give up! Hints: Feedback: 33% Part (b) Find 12 in amps 33% Part (c) Find 13 in amps

Explanation / Answer

Loop current method : Let the loop current Ia for aklefghija loop and Ib for abcdelka loop and applying KVL for these loop

we get from first loop : 78 Ia - 47 + 40.5(Ia - Ib )+0.2Ia +37 +0.05Ia -8.5 = 0

                                  118.75 Ia - 40.5 Ib =18.5

from second loop : 5Ib -29 +0.1 Ib +20Ib+40.5(Ib - Ia) +47 =0

                              65.6 Ib - 40.5 Ia = -18

from above two equations we get    Ia = -0.147 Amp

                                                        Ib =0.206 Amp

Therefore I3= -0.147 Amp I2 = -0.353 Amp I1 = 0.206 Amp

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