More than one different material between two charges how to calculate coulomb's force?
Answers
Coulomb's Law is one of the basic ideas of electricity in physics. The law looks at the forces created between two charged objects. As distance increases, the forces and electric fields decrease. This simple idea was converted into a relatively simple formula. The force between the objects can be positive or negative depending on whether the objects are attracted to each other or repelled.
Charges that are closer together create greater forces. Think about a few concepts before you continue reading. Some charges are attracted to each other. Positive and negative charges like to move towards each other. Similar charges such as two positive or two negative push away from each other. You also need to understand that forces between objects become stronger as they move together and weaker as they move apart. You could yell at someone from far away, and they would barely hear you. If you yelled the same amount when you were together, it would be more powerful and loud.
Coulomb's Work
Charles Augustin de Coulomb was a French scientist working in the late 1700's. A little earlier, a British scientist named Henry Cavendish came up with similar ideas. Coulomb received most of the credit for the work on electric forces because Cavendish did not publish all of his work. The world never knew about Cavendish's work until decades after he died.
Coulomb's Law
As charges increase, the forces increase. But you're here to learn about the law. When you have two charged particles, an electric force is created. If you have larger charges, the forces will be larger. If you use those two ideas, and add the fact that charges can attract and repel each other you will understand Coulomb's Law. It's a formula that measures the electrical forces between two objects.
"F=kq1q2/r2"
"F" is the resulting force between the two charges. The distance between the two charges is "r." The "r" actually stands for "radius of separation" but you just need to know it is a distance. The "q1" and "q2" are values for the amount of charge in each of the particles. Scientists use Coulombs as units to measure charge. The constant of the equation is "k." As you learn more physics, you will see that this formula is very similar to a formula from Newton's work with gravity.
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the thickness of the dielectric is the same as the distance between the charges, rr, so the effective thickness is rK−−√rK. If we put this in the force law we get:
F=14πϵ0Q1Q2(rK−−√)2=14πϵ01KQ1Q2r2F=14πϵ0Q1Q2(rK)2=14πϵ01KQ1Q2r2
as we expect. The force is reduced by a factor of KK.
Now consider (b). To get the effective distance between the charges we have to add the distance through the air, r−tr−t, plus the effective thickness of the dielectric, tK−−√tK, so the effective distance between the charges is:
d=(r−t)+tK−−√d=(r−t)+tK
and the force is just:
F=14πϵ0Q1Q2d2=14πϵ0Q1Q2(r−t+tK−−√)2F=14πϵ0Q1Q2d2=14πϵ0Q1Q2(r−t+tK)2
This is how you get the force when the space between the charges is only partially filled by the dielectric