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HW _2 Solutions

HW _2 Solutions - Problem 2.14 Determine currents I1 to I3...

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Problem 2.14 Determine currents I 1 to I 3 in the circuit of Fig. P2.14. 7 Ω 12 Ω 4 Ω 2 Ω 8 Ω 18 V 1 A 3 A I 2 a b I 3 I 1 + _ Figure P2.14: Circuit for Problem 2.14. Solution: For the loop containing the 18-V source, 18 + 3 × 2 + 8 I 1 = 0 . Hence, I 1 = 1 . 5 A. KCL at node a gives 3 1 I 1 I 2 = 0 I 2 = 2 I 1 = 2 1 . 5 = 0 . 5 A . KCL at node b gives 1 + I 2 I 3 = 0 I 3 = 1 + I 2 = 1 + 0 . 5 = 1 . 5 A .

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Problem 2.16 Determine currents I 1 to I 4 in the circuit of Fig. P2.16. I 2 I 1 I 4 I 3 6 Ω 4 Ω 1 Ω 8 Ω 12 V 4 A 5 V 1 V + _ + _ + _ + _ + _ + _ Figure P2.16: Circuit for Problem 2.16. Solution: Application of KVL to the outer-parameter loop gives 12 + 4 × 1 + 8 I 3 + 5 1 = 0 , which gives I 3 = 0 . 5 A . KVL for the left-most loop is 12 + 4 × 1 + 4 I 1 = 0 , which leads to I 1 = 2 A . KCL at the top center node gives 4 I 1 I 2 I 3 = 0 or I 2 = 4 I 1 I 3 = 4 2 0 . 5 = 1 . 5 A . KCL at the bottom left node gives I 4 + I 1 4 = 0 , or I 4 = 4 I 1 = 4 2 = 2 A .
Problem 2.15 Determine I x in the circuit of Fig. P2.15.

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HW _2 Solutions - Problem 2.14 Determine currents I1 to I3...

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