The circuit in Figure 2.5(a) is used to rectify a sinusoidal input signal with a peak voltage of 120 V and a frequency of 60 Hz. A filter capacitor is connected in parallel with \( R \). If the output voltage cannot drop below 100 V, determine the required value of the capacitance \( C \). The transformer has a turns ratio of \( N_1 : N_2 = 1 : 1 \), where \( N_2 \) is the number of turns on each of the secondary windings. Assume the diode cut-in voltage is 0.7 V and the output resistance is 2.5 kΩ. This is a schematic diagram of a center-tapped full-wave rectifier circuit, which is used to convert alternating current (AC) to direct current (DC).**Components and Connections:**1. **Transformer:** - The circuit begins with a transformer, which has an input voltage \( v_I \). - The secondary winding of the transformer has a center tap, creating two equal voltages \( v_S \).2. **Diodes (D1 and D2):** - Two diodes, \( D_1 \) and \( D_2 \), are connected to each end of the transformer secondary. - Diode \( D_1 \) is connected to the upper end of the transformer, and diode \( D_2 \) is connected to the lower end.3. **Resistor (R):** - The load resistor \( R \) is connected across the output voltage \( v_O \), which is the DC output of the circuit. - The center tap of the transformer is grounded.**Operation:**- During the positive half-cycle of the input AC voltage, diode \( D_1 \) conducts, allowing current to pass through \( R \).- During the negative half-cycle, diode \( D_2 \) conducts, also allowing current through the resistor in the same direction.- This results in a full-wave rectification, where both halves of the AC input contribute to the DC output, improving efficiency and output stability.**Ground Connection:**- The grounding provides a reference point for the output voltage.This design allows for effective conversion of AC to DC with reduced ripple voltage, making it useful for various applications where stable DC is required.

Given data: Vm=120 Vf=60 HzVL=100 VR=2.5 kΩ

The circuit in Figure 2.5(a) is used to rectify a sinusoidal input signal with a peak voltage of 120 V and a frequency of 60 Hz. A filter capacitor is connected in parallel with R. If the output voltage cannot drop below 100 V, determine the required value of the capacitance C. The transformer has a turns ration of N 1: N 2 = 1:1, where N 2 is the number of turns on each of the secondary windings. Assume the diode cut in voltage is 0.7 V and the output resistance is 2.5 kQ.

The circuit in Figure 2.5(a) is used to rectify a sinusoidal input signal with a peak voltage of 120 V and a frequency of 60 Hz. A filter capacitor is connected in parallel with R. If the output voltage cannot drop below 100 V, determine the required value of the capacitance C. The transformer has a turns ration of N 1: N 2 = 1:1, where N 2 is the number of turns on each of the secondary windings. Assume the diode cut in voltage is 0.7 V and the output resistance is 2.5 kQ.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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The circuit in Figure 2.5(a) is used to rectify a sinusoidal input signal with a peak voltage of 120 V and a frequency of 60 Hz. A filter capacitor is connected in parallel with \( R \). If the output voltage cannot drop below 100 V, determine the required value of the capacitance \( C \). The transformer has a turns ratio of \( N_1 : N_2 = 1 : 1 \), where \( N_2 \) is the number of turns on each of the secondary windings. Assume the diode cut-in voltage is 0.7 V and the output resistance is 2.5 kΩ.

This is a schematic diagram of a center-tapped full-wave rectifier circuit, which is used to convert alternating current (AC) to direct current (DC).

**Components and Connections:**

1. **Transformer:**
- The circuit begins with a transformer, which has an input voltage \( v_I \).
- The secondary winding of the transformer has a center tap, creating two equal voltages \( v_S \).

2. **Diodes (D1 and D2):**
- Two diodes, \( D_1 \) and \( D_2 \), are connected to each end of the transformer secondary.
- Diode \( D_1 \) is connected to the upper end of the transformer, and diode \( D_2 \) is connected to the lower end.

3. **Resistor (R):**
- The load resistor \( R \) is connected across the output voltage \( v_O \), which is the DC output of the circuit.
- The center tap of the transformer is grounded.

**Operation:**

- During the positive half-cycle of the input AC voltage, diode \( D_1 \) conducts, allowing current to pass through \( R \).
- During the negative half-cycle, diode \( D_2 \) conducts, also allowing current through the resistor in the same direction.
- This results in a full-wave rectification, where both halves of the AC input contribute to the DC output, improving efficiency and output stability.

**Ground Connection:**
- The grounding provides a reference point for the output voltage.

This design allows for effective conversion of AC to DC with reduced ripple voltage, making it useful for various applications where stable DC is required.

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