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In the ciruit of the figure is $\mathrm{R}=100 \; \Omega, \mathrm{L}=20 \; n \mathrm{H}$ and $\mathrm{C}=32 \; \mathrm{pF}$.
The circuit is maintained at a temperature of $300 \; \text{K.}$ Derive and plot the power spectral density of the voltage $\mathrm{V}_{0}$. Mark all the relevant points on the plot with numerical values. (The Boltzmann constant
\[
k=1.28 \times 10-23 \mathrm{~J} / \mathrm{K}
\]

 

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