1. A thin rod of length W has uniform charge per length A. Find the electric potential (voltage) at the position P as shown. Assume V = 0 at r = ∞ for problems on this worksheet. Use the integration variable u as defined in the diagram to write the voltage at point P. Include the limits of integration but you do not need to evaluate the integral. P Hint: break up the rod into small pieces of length du and use the point charge formula for the voltage due to the small piece dV = Kdq/r with dq and r written in terms of the givens A, L, z and integration variable u and du. W 3 du и ------

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...
icon
Related questions
Question
100%
1. A thin rod of length W has uniform charge per length A. Find the electric potential (voltage) at the position P as
shown. Assume V = 0 at r = o for problems on this worksheet.
Use the integration variable u as defined in the diagram to write the
voltage at point P. Include the limits of integration but you do not
need to evaluate the integral.
P
Hint: break up the rod into small pieces of length du and use the
point charge formula for the voltage due to the small piece dV =
Kdq/r with dą and r written in terms of the givens à, L, z and
integration variable u and du.
W
3
du
0.
Transcribed Image Text:1. A thin rod of length W has uniform charge per length A. Find the electric potential (voltage) at the position P as shown. Assume V = 0 at r = o for problems on this worksheet. Use the integration variable u as defined in the diagram to write the voltage at point P. Include the limits of integration but you do not need to evaluate the integral. P Hint: break up the rod into small pieces of length du and use the point charge formula for the voltage due to the small piece dV = Kdq/r with dą and r written in terms of the givens à, L, z and integration variable u and du. W 3 du 0.
Expert Solution
Step 1

Let a be the shortest distance between the small length du and point P.

Write the expression for a.

a=u2+z2

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Electric field
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
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,