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Series LCR with R = 80 ohm, X_L = 70 ohm, X_C = 130 ohm: power factor

The same question, asked 2 times: 19 Apr 2025 S1*, 15 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    19 Apr 2025 S1

    8
    A series LCR circuit is connected to an a.c. source of 230 V,50 Hz230\text{ }V,50\text{ }Hz. The circuit contains resistance of 80Ω80\Omega an inductor having inductive reactance 70Ω70\Omega and a capacitor of capacitive reactance 130Ω130\Omega. The power factor of the circuit is x . The value of x is

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  2. Question 2

    15 Apr 2026 S1

    137
    A series LCR circuit is connected to an a.c. source of 220220 V, 5050 Hz. The circuit contains a resistance R=80 ΩR = 80\,\Omega, an inductor of inductive reactance 70 Ω70\,\Omega and capacitor of capacitive reactance 130 Ω130\,\Omega. The power factor of the circuit is x10\dfrac{x}{10}. The value of x is

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