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15 August, 11:55

A parallel RC circuit has a capacitive reactance of 962 ohms and a resistance of 1,200 ohms what is the impedance of this circuit

A. 751 ohm

B. 653 ohms

C. 968 ohm

D, 1,254 ohm

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Answers (1)
  1. 15 August, 12:21
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    A. 751 ohm

    Explanation:

    Impedance: This is the total opposition to the flow of current in an a. c circuit by any or all of the three circuit elements (R, L, C). The unit of impedance is Ohms (Ω). The impedance in a parallel circuit is gives a s

    Z = RXₐ/√ (Xₐ² + R²) ... Equation 1

    Where Z = The impedance of the a. c circuit, Xₐ = capacitive reactance, R = resistance.

    Given: Xₐ = 962 Ω, R = 1200 Ω

    Substituting these values into equation 1,

    Z = 962*1200/√ (962² + 1200²)

    Z = 1154400/√ (925444 + 1440000)

    Z = 1154400/√ (925444+1440000

    Z = 1154400/1538

    Z = 750.59 Ω

    Z≈ 751 Ω

    Therefore the impedance of the circuit = 751 Ω

    The right option is A. 751 ohm
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