RESONANCE, \({X_L} = {X_C}\)\(\begin{ARRAY}{l} \Rightarrow 2\pi FL = \frac{1}{{2\pi fC}}\\ \Rightarrow C = \frac{1}{{{{\LEFT( {2\pi f} \right)}^2}L}}\\ \Rightarrow C = \frac{1}{{{{\left( {100\pi } \right)}^2} \times 0.5}} = 20.26\;\MU F \end{array}\)

"> RESONANCE, \({X_L} = {X_C}\)\(\begin{ARRAY}{l} \Rightarrow 2\pi FL = \frac{1}{{2\pi fC}}\\ \Rightarrow C = \frac{1}{{{{\LEFT( {2\pi f} \right)}^2}L}}\\ \Rightarrow C = \frac{1}{{{{\left( {100\pi } \right)}^2} \times 0.5}} = 20.26\;\MU F \end{array}\)

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A circuit having a resistance of 4 Ω, an inductance of 0.5 H and a variable capacitance in series is connected across a 100 V, 50 Hz supply. The value of the capacitance which gives resonance is

General Knowledge General Awareness in General Knowledge . 7 months ago

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At RESONANCE, \({X_L} = {X_C}\)\(\begin{ARRAY}{l} \Rightarrow 2\pi FL = \frac{1}{{2\pi fC}}\\ \Rightarrow C = \frac{1}{{{{\LEFT( {2\pi f} \right)}^2}L}}\\ \Rightarrow C = \frac{1}{{{{\left( {100\pi } \right)}^2} \times 0.5}} = 20.26\;\MU F \end{array}\)

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Posted on 19 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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