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Download Problem 3.4 For the circuit in Fig. P3.4: (a) Apply nodal analysis to
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Problem 3.4 For the circuit in Fig. P3.4: (a) Apply nodal analysis to find node voltages V1 and V2 . (b) Determine the voltage VR and current I. V1 1Ω 16 V + _ 1Ω V2 1Ω + VR I _ 1Ω 1Ω Figure P3.4: Circuit for Problem 3.4. Solution: (a) At nodes V1 and V2 , V1 − 16 V1 V1 −V2 + + =0 1 1 1 V2 −V1 V2 V2 + + =0 1 1 1 Node 1: Node 2: (1) (2) Simplifying Eqs. (1) and (2) gives: 3V1 −V2 = 16 (3) −V1 + 3V2 = 0. (4) Simultaneous solution of Eqs. (3) and (4) leads to: V1 = 6 V, V2 = 2 V. (b) VR = V1 −V2 = 6 − 2 = 4 V I= V2 2 = = 2 A. 1 1 c All rights reserved. Do not reproduce or distribute. 2013 National Technology and Science Press