Register to reply 
Find Electric Flux through cube's side, point charge on corner 
Share this thread: 
#1
Sep106, 04:09 PM

P: 157

My problem is this,
Find the electrix flux through the top side of a cube. The cube's corner is on the origin, and is 'a' units on length. The charge 'q' is located at the origin, with the corner of the cube. I am thinking I need a double integral. One to swipe the box in the y direction (theta), and one to swipe in the x direction (phi). So, I know the component of the electric field perpendicular to the surface is (k*q*cos(theta))/(a*cos*theta)^2 . So I think I need to integrate this from 0 to (pi/4), then integrate again. But how to set up the second integral is where I am confused... Or maybe Im off track all together! Thx for any help 


#2
Sep106, 05:00 PM

Sci Advisor
HW Helper
P: 6,654

AM 


#3
Sep106, 05:14 PM

P: 157

Thx for the reply.
Im sorry, I mis stated my problem I will edit it. The cube is not centered on the origin, its corner is at the origin with the charge. So the flux through one side will not necessarly be 1/6th of the flux. 


#4
Sep106, 05:29 PM

Sci Advisor
HW Helper
P: 2,887

Find Electric Flux through cube's side, point charge on corner
It would be quite a pain to do with an integral 


#5
Sep106, 07:50 PM

Sci Advisor
HW Helper
P: 6,654

AM 


#6
Sep106, 10:01 PM

P: 157

I see the solution perfectaly now. Thank you all, you answered my question well.
I did infact get the double integral too, wow what a mess. But getting the double integral was satisfying. 


#7
Jun1810, 11:22 AM

P: 3




#8
Jun1810, 11:26 AM

Mentor
P: 41,310




#9
Feb412, 05:49 PM

P: 3




#11
Feb412, 06:42 PM

P: 3




Register to reply 
Related Discussions  
Electric field of a line charge and point charge  Introductory Physics Homework  14  
Electric Flux on one side  Introductory Physics Homework  2  
Flux of a Cube with a Corner Charge  Introductory Physics Homework  1  
Electric flux from line charge through plane strip  Introductory Physics Homework  0  
Electric Flux through an Infinite Plane due to a Point charge  Introductory Physics Homework  3 