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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