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4 Pages

### coils_4ckts

Course: EE 221, Fall 2009
School: Clarkson
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Word Count: 263

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Four Example: similar circuits are shown below.. In each of these circuits vs(t) = 5 cos (4t + 45) V. Determine v2 (t) for each of the circuits. 1 Solution: Coil voltages: V1 = j16 I1 V2 = j12 I 2 Mesh equations: 8 I1 + V1 - 545 = 0 - (12 - j 4 ) I 2 - jV2 = 0 Substitute the coil voltages into the mesh equations and do some algebra: 8 I1 + j16 I1 = 545 I1 = 0.28 - 18.4 - (12 - j 4 ) I 2 - j12 I 2 = 0 ( -12...

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Four Example: similar circuits are shown below.. In each of these circuits vs(t) = 5 cos (4t + 45) V. Determine v2 (t) for each of the circuits. 1 Solution: Coil voltages: V1 = j16 I1 V2 = j12 I 2 Mesh equations: 8 I1 + V1 - 545 = 0 - (12 - j 4 ) I 2 - jV2 = 0 Substitute the coil voltages into the mesh equations and do some algebra: 8 I1 + j16 I1 = 545 I1 = 0.28 - 18.4 - (12 - j 4 ) I 2 - j12 I 2 = 0 ( -12 + j8) I 2 = 0 I2 = 0 Vo = - ( - j 4 I 2 ) = 0 Coil voltages: V1 = j16 I1 + j8 I 2 V2 = j12 I 2 + j8 I1 Mesh equations: 8 I1 + V1 - 545 = 0 - (12 - j 4 ) I 2 - V2 = 0 Substitute the coil voltages into the mesh equations and do some algebra: 2 - (12 - j 4 ) I 2 - j12 I 2 - j8 I1 = 0 8 I1 + j16 I1 + j8 I 2 - 545 = 0 (8 + j16 ) I1 + j8 I 2 = 545 - j8 I1 - (12 + j8 ) I 2 = 0 j8 I1 545 I 0.2795 - 8 4.2 + j16 = 1 = -12 - j8 I 2 0 - j8 I 2 0.155 - 127.9 Vo = - ( - j 4 I 2 ) = 0.6237.9 Coil voltages: V1 = j16 I1 - j8 I 2 V2 = j12 I 2 - j8 I1 Mesh equations: - (12 - j 4 ) I 2 - V2 = 0 Substitute the coil voltages into the mesh equations and do some algebra: 8 I1 + V1 - 545 = 0 - (12 - j 4 ) I 2 - j12 I 2 + j8 I1 = 0 8 I1 + j16 I1 - j8 I 2 - 545 = 0 (8 + j16 ) I1 - j8 I 2 = 545 j8 I1 - (12 + j8) I 2 = 0 - j8 I1 545 I 0.2795 - 4.2 8 + j16 = 1 = j8 -12 - j8 I...

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