Question

Use the mesh-current method to find the steady-state expression for v, in the circuit seen in (Figure 1) if v, equals 75 cosPart A Find the numerical value of V.. Express your answer to three significant figures and include the appropriate units. V.Part B Find the numerical value of o Express your answer using three significant figures. V AV Ivec mo ?Part C Find the numerical value of w. Express your answer using three significant figures. IVO ASM O vec m o ? rad/s

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The given voltage: Vg = 75 cos(5000t) Vg in the polar form: Vg = 7520º = 75 The reactance of capacitor (4 uF): Xc = ir=ix 500-json jzon mo KA R / fisso SO ian s zlo e in Vg=75 cos(sooot) 1 1 It A loota mest 2 mesht Apply the Mesh analysis at Mesh 1:Apply the Mesh analysis at Mesh 2: -100is – j550(i1 – is) – j20i1 – 12ių = 0 -10011 – j550i1 + j550i, – j2011 – 12i2 = 0 is(-–7500 + j41250 l1 = 16300 + j4000 11 = V75002 + 412502_180º – tan (7500), V163002 + 40002 Ztan-1 (16300) 11 = 41926.2712100.The output voltage : Vo = 30 cos(5000t + 86.51°)V ......... (3) The given steady state expression for vo: Vo = V. cos(wt + D)

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