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I know the mathematical and geometrical reason, but does there exist a physical interpretation behind this?
Thanks
Thanks
I am not sure what you mean.
That formula works for DC as well. An "exotic" example would be a single electron pump where the (dc) current is given by the number of electrons pumped per second...
!? The rate at which charges move is dq/dt. That is the current. You appear to be confusing dq/dt with d^{2}q/dt^{2}. The rate of change of charge flow is not the same as the rate of charge flow.I don't believe it does. Say that a constant 10 Coulombs of charge per second is flowing through a conductor. This would be equivalent of 10 Amps of current. The rate of change in Coulombs per second is zero. So the equation i(t)=dq(t)/dt would yield zero also.
This would be equivalent of 10 Amps of current.
!? The rate at which charges move is dq/dt. That is the current. You appear to be confusing dq/dt with d^{2}q/dt^{2}. The rate of change of charge flow is not the same as the rate of charge flow.
AM
Say at t = 2 seconds there is 10 Coulombs flowing in the conductor
I don't believe it does. Say that a constant 10 Coulombs of charge per second is flowing through a conductor. This would be equivalent of 10 Amps of current. The rate of change in Coulombs per second is zero. So the equation i(t)=dq(t)/dt would yield zero also.
There is or there are?
But no, there are 10 coulombs per second flowing.
If you re-examine your units you will understand what everyone is telling you.