CBSE 2023 · Region 5 · Set 3 · Q27 · 3 marks
An alternating current $\displaystyle \mathrm{I}=14 \sin (100 \pi \mathrm{t})$ A passes through a series combination of a resistor of $\displaystyle 30 \Omega$ and an inductor of $\displaystyle \left(\frac{2}{5 \pi}\right) \mathrm{H}$. Taking $\displaystyle \sqrt{2}=1.4$, calculate the(i)rms value of the voltage drops across the resistor and the inductor, and(ii)power factor of the circuit.
An alternating current $\displaystyle \mathrm{I}=14 \sin (100 \pi \mathrm{t})$ A passes through a series combination of a resistor of $\displaystyle 30 \Omega$ and an inductor of $\displaystyle \left(\frac{2}{5 \pi}\right) \mathrm{H}$. Taking $\displaystyle \sqrt{2}=1.4$, calculate the
(i)
rms value of the voltage drops across the resistor and the inductor, and
(ii)
power factor of the circuit.
Marking-scheme solution
(i)
Calculation of rms value of voltage drop across resistance and inductor
($\displaystyle 1$+$\displaystyle 1$) (ii) Power factor
Alternating CurrentAC Voltage Applied to a Series LCR CircuitApplyshort_answermedium
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CBSE Class 12 Physics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.