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    Impedance of a circuit; Fendt, Combinations of resistors

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    Find impedance of the circuit below. R1 = 10 Ω, C= 100mF


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    Find impedance of the circuit below. R1 = 10 Ω, C= 100mF
    I IC

    Solution: Reactance of the capacitor = XC = 1/jωC = 1/j(2ПfC) where f = frequency = 60 Hz
    Substituting values: XC = 1/j(2Пx60x100x10-3) = 1/j37.7 ohm
    Let equivalent impedance of the parallel combination of the resistance and capacitance be Z. Then, 1/Z = 1/R1 + 1/XC = 1/10 + j37.7 = 0.1 + j37.7 = √(0.12 + 37.72)/tan-1(37.7/0.1)
    1/Z = 37.7/89.85O
    Z = (1/37.7)/-89.85O = 0.0265/-89.85O ohm
    Impedance can also be expressed as: Z = 0.0265cos(-89.85O) + j0.0265sin(-89.85O) = 0.0000693 - j0.0265
    Z ≈ - j0.0265 ohm

    1. Find the voltages (V1 and V2) and current (A) across the following sets of series circuits (see figure above) where the voltage source is 12 VDC.
    a. R1=50Ω, R2=100Ω
    b. R1=100Ω, R2=200Ω
    c. R1=200Ω, R2=400Ω
    Solution: As R1 and R2 are in series, net resistance in the circuit R ...

    Solution Summary

    Impedance of a circuit, Fendt, and combinations of s resistor are examined.