A short circuit occurs in the series R-L circuit with V = 20 kV, X = 8 ohm, and R = 0.8 ohm. The circuit breaker opens 3 cycles after fault inception. Determine (a)the rms ac fault current(???), (b)the rms “momentary” current(????), at ?=0.5cycle, which passes through the breaker before it opens, and (c)the rms asymmetrical fault current that the breaker interrupts. (Hint: \( t = \frac{\tau}{f} \) where \( \tau \) is time in cycles; \( T = \frac{L}{R} = \frac{X}{wR} = \frac{X}{2\pi f R} \))In this hint, \( t \) is defined as the time in seconds, where \( \tau \) is the time in cycles and \( f \) is the frequency. It explains that the period \( T \) can be expressed in multiple ways: as the ratio of inductance \( L \) to resistance \( R \), as the ratio of reactance \( X \) to the product of angular frequency \( w \) and resistance \( R \), and as the ratio of reactance \( X \) to the product of \( 2\pi \), frequency \( f \), and resistance \( R \).

Given V- 20 kV R= 0.8 ohm X= 8 ohm

Answered: A short circuit occurs in the series…

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...

See similar textbooks

Related questions

Concept explainers

Question

A short circuit occurs in the series R-L circuit with V = 20 kV, X = 8 ohm, and R = 0.8 ohm. The circuit breaker opens 3 cycles after fault inception. Determine (a)the rms ac fault current(?_??), (b)the rms “momentary” current(?_???), at ?=0.5cycle, which passes through the breaker before it opens, and (c)the rms asymmetrical fault current that the breaker interrupts.

(Hint: \( t = \frac{\tau}{f} \) where \( \tau \) is time in cycles; \( T = \frac{L}{R} = \frac{X}{wR} = \frac{X}{2\pi f R} \))

In this hint, \( t \) is defined as the time in seconds, where \( \tau \) is the time in cycles and \( f \) is the frequency. It explains that the period \( T \) can be expressed in multiple ways: as the ratio of inductance \( L \) to resistance \( R \), as the ratio of reactance \( X \) to the product of angular frequency \( w \) and resistance \( R \), and as the ratio of reactance \( X \) to the product of \( 2\pi \), frequency \( f \), and resistance \( R \).

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions