## Circuit Analysis The image shows a circuit with the following components: - A sinusoidal input voltage \( V_i \) - A capacitor \( C \) - A diode - A resistor \( R \) - An output voltage \( V_o \) ## Given Values - \( V_{i, \text{Positive}} = 10 \times \text{Var1} \, \text{V} \) - \( V_{i, \text{Negative}} = 10 \times \text{Var2} \, \text{V} \) - \( V_{\text{Battery}} = \text{Var5} \, \text{V} \) - \( V_D = \text{Var3} \, \text{V} \) - \( R = \text{Var4} \, \text{k}\Omega \) ## Questions ### Question 4 Determine \( V_o \) when the input voltage is in the positive half-cycle. ### Question 5 Determine \( V_o \) when the input voltage is in the negative half-cycle. ## Analysis 1. **Positive Half-Cycle:** - During the positive half-cycle, the diode conducts if \( V_i > V_D \). - Calculate \( V_o \) based on the voltage drop across the resistor \( R \) and the diode forward voltage. 2. **Negative Half-Cycle:** - In the negative half-cycle, the diode is reverse-biased and does not conduct. - \( V_o \) will be based on the discharge of the capacitor through the resistor. To solve these questions, substitute the appropriate values from the variable sheet into the expressions provided and analyze the circuit behavior for each half-cycle.