Consider a circuit shown below with 2 transmission gates and 2 capacitors. The values of capacitors for C₁ and C₂ are 125fF and 48fF, respectively. For the circuit, we have the following initial and final states. Vin = VDD = 3.3V At time, t<0, (x,y)=(1,0) At time t=0, the signals are changed to (x,y)=(0,1). Assume initial V₂ = 0.75V across C2. Compute the final value of voltage (V2) across C₁ and C₂ after charge sharing has taken in place. S ed. V₂=

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**Circuit Analysis with Transmission Gates and Capacitors**

Consider a circuit shown below with two transmission gates and two capacitors. The values of capacitors for \( C_1 \) and \( C_2 \) are \( 125 \, \text{fF} \) and \( 48 \, \text{fF} \), respectively. For the circuit, we have the following initial and final states:

- \( V_{\text{in}} = V_{\text{DD}} = 3.3 \, \text{V} \)
- At time, \( t < 0 \), \((x, y) = (1, 0)\)
- At time \( t = 0 \), the signals are changed to \((x, y) = (0, 1)\)
- Assume initial \( V_2 = 0.75 \, \text{V} \) across \( C_2 \).

Compute the final value of voltage (\( V_2 \)) across \( C_1 \) and \( C_2 \) after charge sharing has taken place. Show all calculations clearly.

\[ V_2 = \text{____________________________} \]

**Diagram Explanation:**

Below is a schematic representing the circuit described:

- The circuit includes two capacitors, \( C_1 \) and \( C_2 \).
- Two transmission gates, controlled by signals \( x \) and \( y \), are present.
- \( V_{\text{DD}} \) is connected to \( C_1 \), and the voltage \( V_1 \) is across \( C_1 \).
- The connection point between \( C_1 \) and \( C_2 \) changes with the activation of transmission gates, denoted by inputs \( x \) and \( y \).

This schematic illustrates the setup for evaluating charge redistribution between capacitors when the state of control signals changes.
Transcribed Image Text:**Circuit Analysis with Transmission Gates and Capacitors** Consider a circuit shown below with two transmission gates and two capacitors. The values of capacitors for \( C_1 \) and \( C_2 \) are \( 125 \, \text{fF} \) and \( 48 \, \text{fF} \), respectively. For the circuit, we have the following initial and final states: - \( V_{\text{in}} = V_{\text{DD}} = 3.3 \, \text{V} \) - At time, \( t < 0 \), \((x, y) = (1, 0)\) - At time \( t = 0 \), the signals are changed to \((x, y) = (0, 1)\) - Assume initial \( V_2 = 0.75 \, \text{V} \) across \( C_2 \). Compute the final value of voltage (\( V_2 \)) across \( C_1 \) and \( C_2 \) after charge sharing has taken place. Show all calculations clearly. \[ V_2 = \text{____________________________} \] **Diagram Explanation:** Below is a schematic representing the circuit described: - The circuit includes two capacitors, \( C_1 \) and \( C_2 \). - Two transmission gates, controlled by signals \( x \) and \( y \), are present. - \( V_{\text{DD}} \) is connected to \( C_1 \), and the voltage \( V_1 \) is across \( C_1 \). - The connection point between \( C_1 \) and \( C_2 \) changes with the activation of transmission gates, denoted by inputs \( x \) and \( y \). This schematic illustrates the setup for evaluating charge redistribution between capacitors when the state of control signals changes.
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