# Document 2236769

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`Name:_____________________________________________________ Section: A B Quiz 02 Solution: Kirchhoff Rules Write down Kirchhoff Loop (K5,K6) and Kirchhoff Junction (K4) eqs. for the following circuit: __________________________________________________________________________________________ (a) [10P] Write down K4 eq. for … Quiz 02A: … Junction a: I3 = I1 + I2 Quiz 02B: … Junction e: I1 + I2 = I3 The Quiz 02A and Quiz 02B answers are equivalent and either eq. is a correct answer for either junction. __________________________________________________________________________________________ (b) [10P] Write down complete K5 eq. for … Quiz 02A: …Loop abcdefga: 0=(Vb – Va) + (Vc – Vb) + (Vd – Vc) + (Ve – Vd) + (Vf – Ve) + (Vg – Vf) + (Va – Vg) Quiz 02B: …Loop agfejiha: 0= (Vg – Va) + (Vf – Vg) + (Ve – Vf) + (Vj – Ve) + (Vi – Vj) + (Vh – Vi) + (Va – Vh) __________________________________________________________________________________________ (c) [10P] Re-­‐write K5 eq. from (b), as K6 eq., with voltage drops expressed in terms of battery voltages or by Ohms law in terms of resistance and current (V = I R), as needed: Quiz 02A: … Loop abcdefga: 0=(Vb – Va) + (Vc – Vb) + (Vd – Vc) + (Ve – Vd) + (Vf – Ve) + (Vg – Vf) + (Va – Vg) 0= 0 + 3V – (5Ω) I1 + 0 + 0 + (4Ω) I2 + 0 Quiz 02B: … Loop agfejiha: 0= (Vg – Va) + (Vf – Vg) + (Ve – Vf) + (Vj – Ve) + (Vi – Vj) + (Vh – Vi) + (Va – Vh) 0= 0 – (4Ω) I2 + 0 + 0 + 7V – (6Ω) I3 + 0 `