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Edward
Edward asked in Science & MathematicsPhysics · 6 days ago

RLC Circuit #2?

Part 1 of 2:

Find the impedance of an RLC series circuit with inductance 54 mH, capacitance 26 μF, and resistance 110 Ω at a frequency of 60 Hz.

Part 2 of 2:

Find the impedance at a frequency of 600 Hz

1 Answer

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  • oldschool
    Lv 7
    6 days ago
    Favorite Answer

    ω = 2πf = 2π*60 = 377 rad/s

    R + j(ωL - 1/ωC) = 110 + j[377*0.054 - 1/(377*26e-6)]

    Z(ω=377) = 110 + j[20.4 - 102] = 110 - j81.66 = 137Ω < -36.6° <<<<< Part 1

    ω = 2πf = 2π*600 = 377 rad/s

    R + j(ωL - 1/ωC) = 110 + j[3770*0.054 - 1/(3770*26e-6)]

    Z(ω = 3770) = 110 + j[204 - 10.2] = 110 + j194 = 223Ω < 60.4° <<<<< Part 2

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