We have enabled User registrations.
0 votes
by

Electric Flux Physics Problem!?

A cube has sides of length L = 0.320 m. It is placed with one corner at the origin. The electric field is not uniform but is given by E= ( -5.02 N/(C*m))xi +(3.04 N/(C*m))zk.

A) Find the electric flux through each of the six cube faces S1 (left side), S2 (top), S3 (right side), S4 (bottom), S5 (front), and S6 (back).

B) Find the total electric charge inside the cube.

Any help is greatly appreciated!

1 Answer

0 votes
by
selected by
 
Best answer

The Best answer for Electric Flux Physics Problem!?

Let's call -5.02 N/(C m) = a and 3.04 N/(C m) = b, so

E = a x i + b z k

S1: only the x component, but x=0 everywhere on that surface: flux = Surface-integral = 0

S2: only the z-component "pierces"through there, and since z=L on that surface: Surface_integral = b L * L^2 = b L^3

S3: same as S2 but with only x-component and x = L there => a L^3

S4 (bottom) : only z-component of field pierces, but z=0 there, so : 0

S5 and S6 would need a y component of the field, but since that's zero: 0

adding these contributions gives: (a + b ) L^3, and according to Maxwell's first theorem in integral form:

Q = eps0 (a+b) L^3.

You can plug in the numbers (remember that a is a negative number..)

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat.
SHOW ANSWER

Related questions

Welcome to TheBasicAnswers.com, where you can post questions and receive answers from other members of this portal. Please do not spam here. Spammers will be banned immediately. You can Contact us here
...