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Q1.Three impedance are connected in parallel Z1=2+j2, Z2=1+j5, Z3=j6.? Find the equivalent admittance Y where Y=1/Z1+1/Z2+1/Z3.
Q2. V1= 3sin(wt) and V2= 2cos(wt) if V3 = V1 + V2 find the expression of V3 in a sine waveform : V3 = Rsin(wt+α) and verify that the resultant voltage V3 is in the same frequency as V1 and V2.
Q3. Given the equivalent impedance of a circuit can be calculated by the expression Z=Z1Z2/(Z1+Z2)
If Z1 = 4 + j10 and Z2 = 12 - j3, calculate the impedance Z in both rectangular and polar forms.
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This paper contains the solutions of three problems in the field of AC circuit theory. The problems deal with the concepts of complex impedance, admittance of series/parallel AC circuits, sum of sinusoidal signals etc. Concepts of Complex Analysis and Trigonometry are used to solve these problems. The document is prepared using LATEX.
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