In a series LCR circuit, a resistor of 300, a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ radians . [2025]

Question

In a series LCR circuit, a resistor of 300 $Ω$ , a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ $\times 10^{4}$ radians $s^{- 1}$ . [2025]

Smart Achievers · Accepted Answer

(2)

$ω = \frac{1}{\sqrt{L C}}$ is resonance condition

$= \frac{1}{\sqrt{100 \times 10^{- 3} \times 25 \times 10^{- 9}}} = \frac{10^{6}}{5 \times 10}$

$= 2 \times 10^{4} rad s^{- 1}$

Solution

Q.
In a series LCR circuit, a resistor of 300 $Ω$ , a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ $\times 10^{4}$ radians $s^{- 1}$ . [2025]

Ans.
(2)

$ω = \frac{1}{\sqrt{L C}}$ is resonance condition

$= \frac{1}{\sqrt{100 \times 10^{- 3} \times 25 \times 10^{- 9}}} = \frac{10^{6}}{5 \times 10}$

$= 2 \times 10^{4} rad s^{- 1}$

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Solution

Q. In a series LCR circuit, a resistor of 300Ω, a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ ×104 radians s–1. [2025]

Ans. (2) ω=1LC is resonance condition =1100×10–3×25×10–9=1065×10 =2×104 rad s–1

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Q.
In a series LCR circuit, a resistor of 300 $Ω$ , a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ $\times 10^{4}$ radians $s^{- 1}$ . [2025]

Ans.
(2)

$ω = \frac{1}{\sqrt{L C}}$ is resonance condition

$= \frac{1}{\sqrt{100 \times 10^{- 3} \times 25 \times 10^{- 9}}} = \frac{10^{6}}{5 \times 10}$

$= 2 \times 10^{4} rad s^{- 1}$