An LC circuit consists of a 3.400 capacitor and a coil with self-inductance 0.080 H and no appreciable resistance. At t = 0 the
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A)
The total energy of the system is equal to the maximum elastic potential energy, that is achieved when the displacement is equal to the amplitude (x=A):
(1)
where k is the spring constant.
The total energy, which is conserved, at any other point of the motion is the sum of elastic potential energy and kinetic energy:
(2)
where x is the displacement, m the mass, and v the speed.
We want to know the displacement x at which the elastic potential energy is 1/3 of the kinetic energy:
Using (2) we can rewrite this as
And using (1), we find
Substituting into the last equation, we find the value of x:
B)
In this case, the kinetic energy is 1/10 of the total energy:
Since we have
we can write
And so we find:
Answer:
Explanation:
density of galaxies would be times higher which is equal to 50.81.
It means in a cube that today contains one galaxy the size of the Milky Way, we would instead find 50.81 galaxies this size.
You can round this off to 52
For n resistors in series, the equivalent resistance is given by the sum of the resistances:
In this problem, we have three resistors, so the equivalent resistance of the load is the sum of the resistances of the three resistors:
In this problem, we have three resistors, so the equivalent resistance of the load is the sum of the resistances of the three resistors: