00:01
So question a want us to prove that the separation between the two charge is equal to this.
00:23
Okay, so we can determine this through the forces acting on the charge since we know that the formula for coulung force involved the square of the distance between them.
00:41
Then let us draw first the forces acting on suppose discharge.
00:51
So downwards, vertically downwards is its weight or the gravitational force.
01:09
So on the horizontal is the electric force or the coolant force.
01:22
So this is the tension force.
01:28
Then this angle is also theta.
01:35
Then vertically upwards is ft cosine theta by trigon number three.
01:42
Then in this direction is ft sine theta.
01:49
Now, in equilibrium, the net force says on the vertical and the horizontal plane is zero.
01:55
So first with the vertical plane, we have zero net force, and the net force is the sum of the forces acting on this plane.
02:01
So we have the cosine theta of the tension force and the weight, which is, as you can see, is negative, since it is opposite.
02:10
By cosine theta for the tension force.
02:14
Cosaeta multiplied by the tension force.
02:24
We know that weight is the product of the mass and the acceleration due to gravity.
02:28
If we isolate the tension force to the left separation, then we have this.
02:34
Now, for the horizontal thing, the forces are gulung force and negative of the tension force multiplied by sine theta...