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A series R-L-C circuit is supplied with v(t)=10sin(1000t) volts. If the maximum peak voltage across capacitor is 400 Volts, find the quality factor of the circuit.

written 3.5 years ago by teamques10 ★ 68k

•   modified 3.5 years ago

analog electronics

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written 3.5 years ago by teamques10 ★ 68k

Given:

Maximum peak voltage

$V_m=10\\ V_{C_m}=400\ V$

$V=\dfrac{V_m}{\sqrt 2}=\dfrac{10}{\sqrt 2}=5\sqrt 2\ V$

$V_{co}=\dfrac{V_{cm}}{\sqrt 2}=\dfrac{400}{\sqrt 2}=200\sqrt 2\ V$

Quality factor of circuit

$Q=\dfrac{V_{co}}{V}=\dfrac{200\sqrt 2}{5\sqrt 2}=40$

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