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A series $\text{RLC}$ circuit has a quality factor $\text{Q}$ of  $1000$ at a center frequency of  $10^{6} \; \mathrm{rad} / \mathrm{s}$. The possible values of $\text{R, L}$ and $\text{C}$ are

  1. $R=1 \; \Omega, L=1 \; \mu H$ and $C=1 \; \mu F$
  2. $R=0.1 \; \Omega, L=1 \; \mu H$ and $C=1 \; \mu F$
  3. $R=0.01 \; \Omega, L=1 \; \mu H$ and $C=1 \; \mu F$
  4. $R=0.001 \; \Omega, L=1 \; \mu H$ and $C=1 \; \mu F$

1 Answer

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W = 1/SQRT(LC)= 10 **6

 

 

Q = W*L/R

1000 = W*1/R = 10**6 * 10**-6/1000 = 1/1000 = .001

D IS CORRECT
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