Consider the box shown below, where 0 <¤< 2,0< y< 1, and 0< z<1. The rectangular prism is subjected to an electric field given by E = -2a?yi + -2xy²j+ 2æy² zk a) Find the flow through the side where z = 2. E• nds = Note: remember to include differential elements such as dx, dy, and/or dz in your answer. Enter these as, e.g. *dx, *dy, and/or *dz. rightside E • ndS = b) Find the flow through the top side. E• nds L E• ndS = top c) Use Gauss's Theorem to calculate the total flow out of the box. div(E) = f f E• nds %3D boz

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Consider the box shown below, where 0 <a < 2,0 < y < 1, and 0 < z<1.
The rectangular prism is subjected to an electric field given by E = -2x²yî + -2æy?j + 2xy? zk
a)
Find the flow through the side where z = 2.
E• ndS =
Note: remember to include differential elements such as dx, dy, and/or dz in your answer.
Enter these as, e.g. *dx, *dy, and/or *dz.
JOrichteide E • nds =
b)
Find the flow through the top side.
E • ndS =
Dron E• ndS =
c)
Use Gauss's Theorem to calculate the total flow out of the box.
div(E) =
F faoz E • ndS
Transcribed Image Text:Consider the box shown below, where 0 <a < 2,0 < y < 1, and 0 < z<1. The rectangular prism is subjected to an electric field given by E = -2x²yî + -2æy?j + 2xy? zk a) Find the flow through the side where z = 2. E• ndS = Note: remember to include differential elements such as dx, dy, and/or dz in your answer. Enter these as, e.g. *dx, *dy, and/or *dz. JOrichteide E • nds = b) Find the flow through the top side. E • ndS = Dron E• ndS = c) Use Gauss's Theorem to calculate the total flow out of the box. div(E) = F faoz E • ndS
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,