AP EAMCET · PHYSICS · Alternating Current
The frequency of ac at which \(16 \mu \mathrm{F}\) capacitor and \(\frac{10}{\pi^2}\) \(\mathrm{mH}\) inductor will have same reactance is
- A \(1 \mathrm{kHz}\)
- B \(1.25 \mathrm{kHz}\)
- C \(1.5 \mathrm{kHz}\)
- D \(2 \mathrm{kHz}\)
Answer & Solution
Correct Answer
(B) \(1.25 \mathrm{kHz}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Given, capacitance, } \mathrm{C}=16 \mu \mathrm{F}=16 \times 10^{-6} \mathrm{~F} \\ & \text { Inductance, } \mathrm{L}=\frac{10}{\pi^2} \mathrm{mH}=\frac{10}{\pi^2} \times 10^{-3} \mathrm{H} \\ & \mathrm{X}_{\mathrm{L}}=\mathrm{X}_{\mathrm{C}} \text {…
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