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Calculate maximums and minimums for Vs and Vo given the following circuit if Vin-110VRMS@60HZ, VDON=0.7 V, n: 1=12:1, CL-22 μF, R₁=2.7 k 12:1 D₂ 503 CA Re

Calculate maximums and minimums for Vs and Vo given the following circuit if Vin-110VRMS@60HZ, VDON=0.7 V, n: 1=12:1, CL-22 μF, R₁=2.7 k 12:1 D₂ 503 CA Re

Introductory Circuit Analysis (13th Edition)
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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What is the Vsmax, Vsmin, Vomax and the Vomin.
**Problem Statement:** Calculate maximums and minimums for \( V_S \) and \( V_O \), given the following circuit if - \( V_{\text{in}} = 110 V_{\text{RMS}} @ 60 \text{Hz} \) - \( V_D^{\text{ON}} = 0.7 V \) - \( n:1 = 12:1 \) - \( C_L = 22 \, \mu F \) - \( R_L = 2.7 \, k\Omega \) **Circuit Explanation:** The circuit provided is a standard full-wave bridge rectifier. Here's a breakdown of its components: - **Transformer:** - Steps down the AC input voltage. The primary to secondary turns ratio is 12:1, meaning the secondary voltage will be \( \frac{1}{12} \) of the primary voltage. - **Bridge Rectifier:** - Comprising four diodes (\( D_1, D_2, D_3, D_4 \)), arranged in a bridge configuration to convert AC into DC. - Each diode has a forward voltage drop of \( V_D^{\text{ON}} = 0.7 V \). - **Capacitor (\( C_L \)):** - Acts as a filter to smooth the rectified output voltage. - **Load Resistor (\( R_L \)):** - Provides a load to the circuit, with a resistance of \( 2.7 \, k\Omega \). The goal is to calculate the peak and minimum voltages at \( V_S \) (the secondary winding of the transformer) and \( V_O \) (the output across the load resistor). The analysis will involve calculating the expected DC output voltage and ripple voltage based on the given component values.
Transcribed Image Text:**Problem Statement:** Calculate maximums and minimums for \( V_S \) and \( V_O \), given the following circuit if - \( V_{\text{in}} = 110 V_{\text{RMS}} @ 60 \text{Hz} \) - \( V_D^{\text{ON}} = 0.7 V \) - \( n:1 = 12:1 \) - \( C_L = 22 \, \mu F \) - \( R_L = 2.7 \, k\Omega \) **Circuit Explanation:** The circuit provided is a standard full-wave bridge rectifier. Here's a breakdown of its components: - **Transformer:** - Steps down the AC input voltage. The primary to secondary turns ratio is 12:1, meaning the secondary voltage will be \( \frac{1}{12} \) of the primary voltage. - **Bridge Rectifier:** - Comprising four diodes (\( D_1, D_2, D_3, D_4 \)), arranged in a bridge configuration to convert AC into DC. - Each diode has a forward voltage drop of \( V_D^{\text{ON}} = 0.7 V \). - **Capacitor (\( C_L \)):** - Acts as a filter to smooth the rectified output voltage. - **Load Resistor (\( R_L \)):** - Provides a load to the circuit, with a resistance of \( 2.7 \, k\Omega \). The goal is to calculate the peak and minimum voltages at \( V_S \) (the secondary winding of the transformer) and \( V_O \) (the output across the load resistor). The analysis will involve calculating the expected DC output voltage and ripple voltage based on the given component values.
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