00:01
For this problem, we have particles 1 and 2, 1 on the y -axis, and 2 on the x -axis, and we want to figure out what is the x -component of the force between these two charges.
00:18
So in general, the x component of the force is going to be f cosine of theta, where theta is going to be the angle between the.
00:32
These two charges.
00:33
So this is theta here, where one side of the triangle has a length d1, the other has a length of d2, which makes the hypotenuse the square root of d1 squared plus d2 squared.
00:51
We can use that information to plug in for cosine of theta here.
00:57
So f of x will be the magnitude of the force times d2 over the square root of d1 squared plus d2 squared.
01:15
We can use kulom's law to figure out what the magnitude of the force is going to be equal to, so that's just 1 over 4 pi epsilon knot, q1 times q2, so that's 4e times 6e, which gives us a grand total of 24e squared.
01:38
Oops, let me fix that...