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Download Problem 3.15 Use the supernode concept to find the current Ix in the
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Transcript
Problem 3.15 Fig. P3.15. Use the supernode concept to find the current Ix in the circuit of supernode 6V + V1 2A V2 0.5 Ω V3 _ Ix 4A 0.5 Ω 0.5 Ω Figure P3.15: Circuit for Problem 3.15. Solution: The presence of a voltage source between designated nodes 1 and 2 makes the combination of nodes 1 and 2 a supernode. Hence, V2 V2 −V3 V1 −2+ + = 0. 0.5 0.5 0.5 (1) V3 −V2 − 4 + 2 = 0, 0.5 (2) V2 −V1 = 6. (3) For node 3, and the auxiliary equation is Combining the three equations leads to: V1 = −2 V, V2 = 4 V, V3 = 5 V. Hence, Ix = V2 4 = = 8 A. 0.5 0.5 c All rights reserved. Do not reproduce or distribute. 2013 National Technology and Science Press
