2022-10-05 10:41 Status: # Noise in Capacitor Circuits Analyse the simple RC filter with noise:  $H(s)=\frac{V_{no}(s)}{V_{nR}(s)}=\frac{1}{1+sRC}$  Noise in the voltage across a capacitor depends on the capacitance - even though it is itself noiseless! **To keep noise down, we need alot of capacitance** ## White Noise in 1st order lowpass system.  $V_{N,RMS}^2=V_0^2 \frac{\pi}{2}f_0$ $B_N = \frac{\pi}{2}f_0$ is the noise bandwidth. ## Usefulness Very important. Many systems are subject to white noise and will exhibit a first order LPF rolloff. [^1] --- # References [^1]: [vr-4602-wk03-sc09-capacitornoise](../../Spaces/University/ELEC4602%20–%20Microelectronics%20Design%20and%20Technology/Lectures/W3/vr-4602-wk03-sc09-capacitornoise.mp4)