Aparallel 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

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

b.

explanation:

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