final - Final Project 1 The 6 original equations 1 2 3 4 5...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Final Project 1.  The 6 original equations: 1.  KCL:   2.  KVL Left Loop:   3.  KVL Right Loop:   4.  Ohm’s Law:   5.  Capacitor:   6.  Op Amp:   The derivation of the given equation: Equations 2 and 6 combine to form equation 7:   Equations 1 and 4 combine to form equation 8:   Equations 5 and 8 combine to form equation 9:   Equation 3 can be rearranged to form equation 10:  Equations 9 and 10 combine to form equation 11:   Equations 7 and 11 combine to form:  Finally we derive:   As gain  A  approaches infinity as it does in ideal Op Amps, the above equation simplifies to: 2.  See enclosed circuit.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3.  Schematic with a 2000Hz Sinusoidal Input Input and Output of the Circuit plotted on the same plane
Background image of page 2
The input of the circuit was a 2000Hz sinusoidal wave with amplitude of 1V.  The output  is the derivative of the sine wave, which would be a cosine wave.  The graph of a cosine wave  is 90 degrees out of phase of the sine wave.  In my measurements, the difference in the peaks  of the sine and cosine waves was .138ms.  A cycle of the sine wave is .5ms meaning a 4 th  of a  cycle should be .125ms.  With my measurement being .138, the cosine wave is obviously very  close to being 90 degrees out of phase of the sine wave.  The amplitudes of both waves are 
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This test prep was uploaded on 04/19/2008 for the course ECE 1002 taught by Professor Moorhead during the Fall '07 term at Mississippi State.

Page1 / 11

final - Final Project 1 The 6 original equations 1 2 3 4 5...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online