What is the significance of Switched capacitor circuits analog design?

Switched capacitor circuits are very important circuits for analog design.  They are used in filter applications and also for analog-to-digital conversion.  In these circuits, transistors are turned on and off like switches.  In this exercise, we will use the G element as a VCR model for transistors.  Figure 2-13 shows the circuit of a switched capacitor amplifier.  During phase Φ 1 , the Φ 1 switches are closed and the Φ 2 switches are open (See Figure 2-15).  During phase Φ 2 , the Φ 1 switches are open and the Φ 2 switches are closed (See Figure 2-16).  The two phases do not overlap.  Their timing diagram is shown in Figure 2-14.  For analysis, assume the op-amp is ideal.  1. During phase Φ 1 , what is the charge stored across C 1 ?  Use figure 2-15.  2. During phase Φ 2 , what is the charge stored across C 2 ?  Use figure 2-16.  3. Using the conservation of charge, what is the gain of this amplifier?  4. During phase Φ 2 , the current in C 1 flows to ground to the left to discharge the capacitor.  This current flows through capacitor C 2 in the        same direction.  At the end of Φ 2 , is V o positive or negative?  Is this an inverting or non-inverting amplifier?  5. During phase Φ 1 , what does V o equal?  6. During phase Φ 2 , what does V o equal?  Note: this value is sampled at the end of phase Φ 1 !

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