00:01
According to this exercise, there is a point charge q1 of charge 2 micro glombs, that is 2 times 10 to the minus 6 glomps, located at point p1 with a location vector.
00:16
Anyway, r1, minus 3, 7, minus 4, i presume that is in meters.
00:24
And another point charge q2 of minus 5 microclombs, that is minus 4.
00:31
5 times 10 to the minus 6 columns located at point p2.
00:38
Let's express that location vector, the position vector r as r2 with coordinates 2, 2, 4, minus 1 in minutes.
00:51
And there's a specific observation location.
00:53
Let's say, let's call it the vector, the location vector r3 with courtney's 12 .15, 18 meters again.
01:07
And we want at this specific observation location to calculate the electric field, the magnitude of the electric field, and the unit vector, the unit vector of the direction of the electric field there.
01:25
The formulas, i mean, is typically the formula.
01:28
Of the electric grid to a point charge.
01:33
Yeah.
01:36
That is 1 over 4 pi times upside or node.
01:45
This is a typical factor that equals 9 times 10 to the 9th.
01:49
Let's forget about the units.
01:51
Times the charge divided by a distance squared, by a distance between the charge and the observation location, multiply by r -hat.
02:02
This r symbol now is the relative position vector as we say define us.
02:08
Again, difference between the observation vector the observation vector minus the position vector of the charge.
02:22
And as a minimonic, it is always good to remember that r, the relative position vector always points away from a charge towards the observation location, always points away from observation location.
02:35
Now, if we replace r hat with the definition of r hat, the unit vector, which is, yeah, always vector divided by the magnitude of the position vector, we get a more convenient formula, similar formula, but a quite more convenient.
02:59
In this case, which has in the denominator r cubed instead of r squared and it's a little bit more convenient as we all see.
03:10
Now let's do the calculations, let's calculate the electric field due to specifically point charge one, q1, yeah, we will use again this specific formula...