Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Which of the following equations is true for an inductor?

Which of the following equations is true for an inductor?

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...
See similar textbooks
icon
Related questions
Question
Please answer correctly. Thank you
The image presents a multiple-choice question on electronics. The question asks: "Which of the following equations is true for an inductor?" There are four options: 1. \( v(t) = L \, i(t) \) 2. \( v(t) = L \, \frac{di(t)}{dt} \) 3. \( i(t) = L \, \frac{dv(t)}{dt} \) 4. \( i(t) = L \, v(t) \) Explanation: - \( v(t) \) represents the voltage across the inductor at time \( t \). - \( i(t) \) represents the current through the inductor at time \( t \). - \( L \) is the inductance of the inductor. - \( \frac{di(t)}{dt} \) is the derivative of current with respect to time, indicating the rate of change of current. - \( \frac{dv(t)}{dt} \) is the derivative of voltage with respect to time, indicating the rate of change of voltage. For an inductor, the correct equation is: \[ v(t) = L \, \frac{di(t)}{dt} \] This represents the fundamental relationship for inductors, showing that the voltage across an inductor is proportional to the rate of change of current through it.
Transcribed Image Text:The image presents a multiple-choice question on electronics. The question asks: "Which of the following equations is true for an inductor?" There are four options: 1. \( v(t) = L \, i(t) \) 2. \( v(t) = L \, \frac{di(t)}{dt} \) 3. \( i(t) = L \, \frac{dv(t)}{dt} \) 4. \( i(t) = L \, v(t) \) Explanation: - \( v(t) \) represents the voltage across the inductor at time \( t \). - \( i(t) \) represents the current through the inductor at time \( t \). - \( L \) is the inductance of the inductor. - \( \frac{di(t)}{dt} \) is the derivative of current with respect to time, indicating the rate of change of current. - \( \frac{dv(t)}{dt} \) is the derivative of voltage with respect to time, indicating the rate of change of voltage. For an inductor, the correct equation is: \[ v(t) = L \, \frac{di(t)}{dt} \] This represents the fundamental relationship for inductors, showing that the voltage across an inductor is proportional to the rate of change of current through it.
Expert Solution
Step 1

Electrical Engineering homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS