EMT: 2nd week part 1 Electrostatic

By: Unknown on Friday, March 06, 2015

Hey there~

In general, electrostatic field is the electric field that is static, not dynamic and independent of time.

Electrostatic field has 4 types of sources which are:

1) Point charge

2) Line charge

3) Surface charge

4)Volume charge

To find the total charge, we will use integration over a certain limits on a 'sample' that we take from the area that we going to measure.

Example:

1.    Determine the total charge contained in the line charge distribution r_l(x, y, z) = 2x + 3y – 5z C/m extending from (3, 2, 1) to (5, 4, 7).

Solution: since this is a line charge, so only one integral is required ( 2 for surface and 3 for volume)

From the question we have 3 variable (x,y,z), so we need to convert 2 of them into 1 single variable, in this case, we choose to convert y and z into x. To do so, first we acquired the equation of the straight line between y and x, z and x. 

Then we differentiate them and substitute inside the square root equation. 

The solution is 19.9. (not sure with the positive sign, it might be negative.)


#This is just a line charge question, will upload some surface and volume charge question if I free. :)


Regards,

Daniel.