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Electric Circuits 8th Edition 121

# Electric Circuits 8th Edition 121 - a.2 h iroductiono t heN...

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RearrangiDgEqs.4.l and4.2 ro tacilitare lheir.olulion yieldslheser a.2 hiroduction to the Nod*VoLtage Method 10v Figlre 4.5 A A ciruit used to ittustnte the node-vottage method of circujt anatysk. 91 \4.3) Note that summing the curent at t}le nth node (g in this example) gives R1i1 +R5i2+(Rr+R3)t1 + ota + ots + 0t6 = r,1, 0i1 + 0i' - (R' + R3)i3 + R6i4 + Rai5 + 0i6 = or, -ir + i + 0t3 + 0i4 + 0i5 + t6 = 1, i1 + Oi2 i) + ola i5 + 0t6:0, qir- i2+ h + i4 + 0i5 + 0i6 = 0, 0i1 R5i2 + 0i3 R6ia + Ois + R?i6 = 0. is ia i6+I:0. (4.4) Equation 4.4 is not independent, because we can deiive it by summhg Eqs.4.1 and tlen multiplying tle sum by -1. Thus Eq.4.4 is a linear com- bination of Eqs. 4.1 and theiefore is not itrdependent of them. We now cally the procedure one step further. By introducing new vadables, we can des€ribe a circuit with just,1 -
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