00:01
All right, so let's say you have a point charge that has a value of 2 .3 microcluoms.
00:07
And we want to know what's the radial distance between the 500 volt potential and 1 ,000 volts.
00:15
So let's set our potential energy, our voltage, this is called delta v relative to infinity.
00:21
There's just going to be coolants constant times the charge over the distance.
00:24
So we can see our distance is going to be kq over the voltage.
00:30
So for this particular case, this is going to be coulams constant, which is 9 times 10 to the 9th, newtons per coulams squared, times 2 .3 times 10 to the negative 6th, coulams over 500 volts.
00:48
Give myself some more room.
00:50
So if we write that 2 .3 times 10 to the negative 6 times 9 times 10 to the 9th, divided by 500, this is 41 .4 meters.
01:01
And then the 1 ,000 volts distance is really just going to be half this distance if we think about it.
01:07
So because our voltage is twice as much, so this is 20 .7 meters.
01:14
So the difference in distance here is going to be 20 .7 meters.
01:21
And then for part b, we want to do the same thing, but for 1 ,000 volts and 1 ,500 volts...