CBSE 2023 · Region 2 · Set 3 · Q30 · 3 marks
A resistor of $\displaystyle 50 \Omega$, a capacitor of $\displaystyle \left(\frac{25}{\pi}\right) \mu \mathrm{F}$ and an inductor of $\displaystyle \left(\frac{4}{\pi}\right) \mathrm{H}$ are connected in series across an ac source whose voltage (in volt) is given by $\displaystyle \mathrm{V}=70 \sin (100 \pi \mathrm{t})$. Calculate :(a)the net reactance of the circuit,(b)the impedence of the circuit(c)the effective value of current in the circuit.
A resistor of $\displaystyle 50 \Omega$, a capacitor of $\displaystyle \left(\frac{25}{\pi}\right) \mu \mathrm{F}$ and an inductor of $\displaystyle \left(\frac{4}{\pi}\right) \mathrm{H}$ are connected in series across an ac source whose voltage (in volt) is given by $\displaystyle \mathrm{V}=70 \sin (100 \pi \mathrm{t})$. Calculate :
(a)
the net reactance of the circuit,
(b)
the impedence of the circuit
(c)
the effective value of current in the circuit.
Marking-scheme solution
Finding\[\begin{gathered}
R=50 \Omega, \\
\mathrm{V}_{0}=70 \mathrm{~V} \\
\omega=100 \pi
\end{gathered}
\]
Alternating CurrentAC Voltage Applied to a Series LCR CircuitApplyshort_answermedium
More from Alternating Current
- An alternating current is given by I=I 0 cos (100 π) t. The least time the current takes to decrease from its…2025 · asked 3×
- A resistor of 30 Ω and a capacitor of 250/(π) μ F are connected in series to a 200 V, 50 Hz ac source.…2023 · asked 3×
- An inductor, a capacitor and a resistor are connected in series across an ac source of voltage. If the…2023 · asked 3×
- Assertion: A series LCR circuit behaves as a pure resistive circuit at resonance. Reason (R): At resonance, X…2025 · asked 3×
- How does the resistance differ from impedance? With the help of a suitable phasor diagram, obtain an…2023 · asked 3×
- Assertion: In an ideal step-down transformer, the electrical energy is not lost. Reason (R): In a step-down…2025 · asked 3×
- An ac voltage is given as v=14 sin (314 t) V. The average and the effective value of the voltage (in V ) over…2026 · asked 3×
- The figure shows the variation of capacitive reactance (X C) of two ideal capacitors of capacitances C 1 \& C…2026 · asked 3×
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.