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An RLC series circuit has an annlied voltage of 277-

An RLC series circuit has an annlied voltage of 277-

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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**Problem:** An RLC series circuit has an applied voltage of 277 volts. The inductor has a voltage drop of 355 volts and the capacitor has a voltage drop of 124 volts. What is the voltage drop across the resistor? **Solution:** To find the voltage drop across the resistor in an RLC series circuit, we use the formula for the total applied voltage in a series circuit: \[ V_{total} = V_R + V_L - V_C \] Where: - \( V_{total} \) is the total applied voltage. - \( V_R \) is the voltage drop across the resistor. - \( V_L \) is the voltage drop across the inductor. - \( V_C \) is the voltage drop across the capacitor. Given: - \( V_{total} = 277 \) volts - \( V_L = 355 \) volts - \( V_C = 124 \) volts Solving for \( V_R \): \[ V_R = V_{total} - V_L + V_C \] \[ V_R = 277 - 355 + 124 \] \[ V_R = 46 \] volts Therefore, the voltage drop across the resistor is 46 volts.
Transcribed Image Text:**Problem:** An RLC series circuit has an applied voltage of 277 volts. The inductor has a voltage drop of 355 volts and the capacitor has a voltage drop of 124 volts. What is the voltage drop across the resistor? **Solution:** To find the voltage drop across the resistor in an RLC series circuit, we use the formula for the total applied voltage in a series circuit: \[ V_{total} = V_R + V_L - V_C \] Where: - \( V_{total} \) is the total applied voltage. - \( V_R \) is the voltage drop across the resistor. - \( V_L \) is the voltage drop across the inductor. - \( V_C \) is the voltage drop across the capacitor. Given: - \( V_{total} = 277 \) volts - \( V_L = 355 \) volts - \( V_C = 124 \) volts Solving for \( V_R \): \[ V_R = V_{total} - V_L + V_C \] \[ V_R = 277 - 355 + 124 \] \[ V_R = 46 \] volts Therefore, the voltage drop across the resistor is 46 volts.
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