Basic Engineering Circuit Analysis
Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
bartleby

Videos

Textbook Question
Book Icon
Chapter 8, Problem 1P

Given i ( t ) = 5 cos ( 400 t 120 ° ) A , determine the period of the current and the frequency in Hertz.

Expert Solution & Answer
Check Mark
To determine

The Period of the current and the Frequency in Hertz.

Answer to Problem 1P

Frequency (f) = 63.66 Hz

Time period (T) =15.7 m/sec

Explanation of Solution

Given Information:

i(t)=5 cos (400t-120°)

In general,  ω is the angular speed - the rate change of angle (as in a circular motion). Frequency is 1/T or the number of periodic oscillations or revolutions during a given time period.

It is known that

ω=2πT

In the given equation of current

ω=400rad/sec

Hence,

400=2πTT=2π400T=15.70×103T=15.70msec

Although,

f=1Tpluggingvaluef=115.70×103f=63.69Hz

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
What is the angular frequency of a waveform having a period of 1 millisecond? Kindly provide a CLEAR and COMPLETE solution. #46 a. 200π rad/s b. 100π rad/s c. 2000/π rad/s d. 1000/π rad/s
Find the area of the sinc(t).
I need the answer as soon as possible
Knowledge Booster
Background pattern image
Electrical Engineering
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Text book image
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Text book image
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Text book image
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Text book image
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Text book image
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Random Variables and Probability Distributions; Author: Dr Nic's Maths and Stats;https://www.youtube.com/watch?v=lHCpYeFvTs0;License: Standard Youtube License