If you are in motion can you have the same speed as someone else in motion but different velocities? Give an example
1 answer:
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Answer:
0.5
Explanation:
The energy of a charged capacitor is given by where
is the charge on it and
is its capacitance. The capacitance is defined, geometrically, as
where is a constant that is determined by the material between the plates,
is the area of the plates and
is the distance between them. It is then that the capacitance is linearly inversely proportional to the separation distance; as the distance increases, the capacitance reduces.
Because it is linear, when the separation distance is doubled, other factors remaining constant, the capacitance is halved. Because the capacitance is halved, the energy is halved.
Let's see the mathematics.
Initial capacitance, at initial separation,
If separation is doubled, separation becomes . Then the capacitance becomes
Initial energy,
Final energy,
Hence,