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exam 1 crib sheet

# exam 1 crib sheet - Lab 4 Decibel Fourier series Frequency...

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Lab 4 Decibel Fourier series Frequency response Low-pass filter () 10 1 10 2 10log 1 10log P dBW W P comparison P = = 10 1 10 2 20log 1 20log V dBV V V comparison V = = A Fourier series is the expansion of a periodic function in terms of an infinite sum of sine and cosine waves. Ex: 0 0 22 2 cos 2 sin 2 : o T i T i ii i aD C o f f s e t av t n t d t T bv t n t d t T Aa b Recall T ω π = = = =+ = Simple low-pass filter 1 o Cutoff frequency RC = 11 : 1 1 o i o V Gain H V RC == = + ⎛⎞ + ⎜⎟ ⎝⎠ Frequency response of an RC lowpass filter : Timeconstant RC τ = Important information about capacitors C C c C Q CQ C V V dV dQ iC dt dt =∴ =

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Lab 5 Operational amplifiers Limitations of op amps Inverting Op-Amp () 1 0 f out in out cc cc R V H VR V A V V with feedback drivento limited byV andV +− == =− From Lab 5 (filter across an opamp) 22 1 2 1 1 oo o i o o o V HH V R H gainof opamp R without feedback capacitor RC ω ωω + = =
Given the following, find the output voltage, the gain, and the gain in dB.

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exam 1 crib sheet - Lab 4 Decibel Fourier series Frequency...

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