Lets suppose a charge Q placed on a small sphere centered at the origin of our c
ID: 2139761 • Letter: L
Question
Lets suppose a charge Q placed on a small sphere centered at the origin of our coordinate system. A time t = 0, the sphere explodes, the explosion generates a current which, by the problem's symetry, has to be radial : .
Knowing this, the expression for the vector potential A has to be radial and thus the current distribution does not generate any magnetic field since = 0
Use the Ampère-Maxwell law to show this explicitly.
The problem was solved in another topic, but without using Ampère-Maxwell law.
Explanation / Answer
charge on small sphere is Q
the current generated after explosion is
I = (Q/t)
where t is time
the power dissipated by the sphere is
P = V x I
where V is the applied potential difference
the electrical energy is
E = V x I x t
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