An inductor and a resistor are connected in series to an ac source. If the power factor of the circuit is 0…

An inductor and a resistor are connected in series to an ac source. If the power factor of the circuit is 0.5 , the ratio of the resistance of the resistor and the reactance of the inductor is
  1. $1:1$
  2. $1: \sqrt{2}$
  3. $1: \sqrt{3}$
  4. $1: 2$

Solution

Power factor of the circuit $=0.5$ $\text { Ratio }=\frac{\mathrm{R}}{\mathrm{Z}}=0.5=\frac{1}{2}$

Asked in: AP EAMCET 2023 (15 May Shift 2)

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