An inductor of 0.5 mH, a capacitor of 200 <math> <mrow> <mi>μ</mi> <mi>F</mi> </mrow> </math> and a resistor of 2 <math> <mrow> <mi>Ω</mi> </mrow> </math> are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be__________ × 102 Hz.

Since current is in phase with voltage, it means circuit is in resonance, so we can writef = 1 2 π L C = 1 2 π ( 0 . 5 × 1 0 − 3 ) × ( 2 0 0 × 1 0 − 6 ) ⇒ f = 1 0 4 2 π 1 0 ≈ 5 × 1 0 2 H z [ T a k i n g π = 1 0 ]

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Alternating Current Overview Physics Alternating Current Physics Class 12th

An inductor of 0.5 mH, a capacitor of 200 $μ F$ and a resistor of 2 $Ω$ are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be__________ × 10² Hz.

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Vishal Baghel | Contributor-Level 10

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Since current is in phase with voltage, it means circuit is in resonance, so we can write

f = $\frac{1}{2 π \sqrt[]{L C}} = \frac{1}{2 π \sqrt[]{(0.5 \times 1 0^{- 3}) \times (200 \times 1 0^{- 6})}}$

$\Rightarrow f = \frac{1 0^{4}}{2 π \sqrt[]{10}} \approx 5 \times 1 0^{2} H z$ $[T a k i n g π = \sqrt[]{10}]$

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An inductor of 0.5 mH, a capacitor of 200 $μ F$ and a resistor of 2 $Ω$ are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be__________ × 10² Hz.

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An inductor of 0.5 mH, a capacitor of 200 μ F and a resistor of 2 Ω are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be__________ × 102 Hz.

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An inductor of 0.5 mH, a capacitor of 200 $μ F$ and a resistor of 2 $Ω$ are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be__________ × 10² Hz.