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Three charges with magnitudes 0.8 μC, -0.6 μC, and 0.5 μC are placed at the three corners A, B, and C of an equilateral triangle with sides of 4 cm. Find the electric force on the charge at vertex C due to the other two charges.

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Transcript
00:00Hi friends, no one can force you to learn except yourself.
00:05Keep up the enthusiasm for learning.
00:10Charged particles are located at the corner points of an equilateral triangle.
00:15Now, we are asked to find the magnitude of the resultant Coulomb force on one of the charges at the corner point.
00:24Here is an equilateral triangle.
00:26This triangle has three corner points.
00:33At each point there is a charge.
00:36Charge 1 is at point A, charge 2 is at point B, and charge 3 is at point C.
00:44The Coulomb force is formed from the interaction of two electrically charged particles.
00:50Because there are three electrically charged particles, each particle will get two Coulomb forces, as will particle 3.
00:56The charge signs of particles 1 and 3 are the same, so the direction of the Coulomb force on particle 3 is away from particle 1.
01:09Because the Coulomb force is a central force, the direction of the Coulomb force will be in line with the line connecting point 1 and point 3.
01:16Almost forgot, the length of each side of the triangle is R.
01:25The magnitude of the force F31 is KQ1Q3 over R squared.
01:29The values of some quantities can be seen in the problem sheet.
01:38F31 is about 2.25 Newton.
01:44The charge signs of particle 3 and particle 2 are different, so the direction of the Coulomb force on particle 3 is towards particle 2.
01:51F32 is also in line with the line connecting point 2 and point 3.
01:59The magnitude of the force F32 is KQ2Q3 over R squared.
02:06What is important to note, when we have known the direction of the force,
02:10the charge value during the calculation process is always positive regardless of the sign.
02:15F32 is 1.69 Newton.
02:23It is clear that on particle 3 there are two forces acting simultaneously.
02:30Several forces acting on the same object have a resultant force.
02:35I think we have learned vector physics.
02:38Through the parallelogram method, we can draw the resultant vector FR.
02:42The magnitude of the vector FR is what we want to calculate.
02:49Mathematically, FR is equal to the square root of F31 plus F32 squared plus 2F31F32 cosine of beta.
03:00The angles in every equilateral triangle are equal.
03:04The value of this angle is 60 degrees.
03:06Two complementary angles have an angle of 180 degrees.
03:14So this angle is 120 degrees.
03:17Beta is equal to 120 degrees.
03:22We can use a scientific calculator.
03:25FR is about 2.03 Newtons.
03:27This is the magnitude of the resultant vector acting on particle 3.
03:36Happy learning everyone!
03:38Atlas actually is one.
03:45But it could do a slight difference.
03:48It doesn't follow up currently.
03:49Do you find references?
03:50Perhaps us.
03:52Go ahead!
03:53τ
03:57mais
04:01There you go.
04:04schodd
04:04Food

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