00:00Hi friends, knowledge is limitless.
00:05Therefore, if you continue to learn, your world will become wider.
00:10Force is one of the vector quantities.
00:15In this series, we will learn to use vector analysis to calculate the Coulomb force.
00:22Because the coordinates of a particle are determined by two values, it is a point in a two-dimensional coordinate system.
00:30The first particle is at point one six.
00:35The second particle is at point four two.
00:39All values are still in centimeters.
00:44We are asked to get the force vector acting on the charged particle at point two.
00:51The charges of both particles have the same sign.
00:55Both particles will move away from each other.
01:02The column force is the central force.
01:05Simply draw a straight line connecting the mass points of the two particles.
01:11This is the force we want to calculate.
01:16We will calculate this force through vector analysis.
01:20First, draw a vector R1 from the center of coordinates to particle one.
01:27Draw a vector R2 from the center of coordinates to particle two.
01:33Now, vector R is the vector that connects point one to point two.
01:39This vector is in line with vector F21.
01:43It seems that the two vectors are in the same direction, so we don't need to add a negative sign to the force equation.
01:50Vector F21 is equal to KQ1Q2 vector R divided by the magnitude of vector R cubed.
01:58There is a quite useful tip.
02:01That in the calculation process, the charge value is always positive regardless of its sign.
02:07Because the direction of the vector is already known.
02:11Numerically, vector R1 is 0.01i hat plus 0.06j hat.
02:18In the calculation process, we use meters instead of centimeters.
02:23Vector R2 is 0.04i hat plus 0.02j hat.
02:32Vector R is vector R2 minus vector R1.
02:38Just substitute vector R1 and vector R2.
02:43From here, vector R is 0.03i hat minus 0.04j hat.
02:51The magnitude of vector R is the norm of vector R.
02:54R is equal to 0.05 meters.
03:00Now, we can see some values from the problem sheet.
03:07We can use a scientific calculator.
03:10You may get different results.
03:11Vector F21 is 17.28i hat minus 23.04j hat.
03:18The component of the force vector is positive on the x-axis and negative on the y-axis.
03:25This means that vector F21 is in quadrant 4 as estimated in the picture.
03:33Happy learning everyone!
03:37For four years to complete the scan of the x-axis.
03:42The x-axis dropper is110.
03:43The x-axis is at the sum of the x-axis.
03:49The x-axis is at the x-axis.
03:52The x-axis is at the x-axis.
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