CBSE 2024 · Region 3 · Set 2 · Q24 · 3 marks
Distinguish between reactance and impedance of an ac circuit. Show that an ideal inductor in an ac circuit does not dissipate any power.
Marking-scheme solution
Reactance- It is the measure of opposition to flow of current in ac circuit comprising Inductor or Capacitor.
Impedance- It is the measure of opposition to flow of current in ac circuit comprising Resistor, Capacitor and Inductor.
\(\displaystyle \varepsilon=\varepsilon_{0} \sin \omega t\)
\[\begin{aligned}
I & =I_{0} \sin \left(\omega t-\frac{\pi}{2}\right)=-I_{0} \cos \omega t \\
P & =\varepsilon I \\
& =-\varepsilon_{0} I_{0} \sin \omega t \cos \omega t \\
& =-\frac{\varepsilon_{0} I_{0}}{2} 2 \sin \omega t \cos \omega t \\
P & =\frac{\varepsilon_{0} I_{0}}{2} \sin 2 \omega t
\end{aligned}
\]
Alternating CurrentAC Voltage Applied to a Series LCR CircuitUnderstandshort_answermedium
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CBSE Class 12 Physics past-paper question from the 2024board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.