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gikiian
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I know the mathematical and geometrical reason, but does there exist a physical interpretation behind this?
Thanks
Thanks
f95toli said: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 d2q/dt2. The rate of change of charge flow is not the same as the rate of charge flow.2milehi said: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.
2milehi said:This would be equivalent of 10 Amps of current.
Andrew Mason said:!? The rate at which charges move is dq/dt. That is the current. You appear to be confusing dq/dt with d2q/dt2. 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
2milehi said: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.
Studiot said: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.
This is because AC current is defined as a varying current that changes direction periodically. This means that the rate of change of charge, or the derivative of charge with respect to time, is equal to the current at any given moment.
No, i(t) only represents AC current. This is because DC current is constant and does not vary with time, so the derivative of charge with respect to time would always be 0.
The amplitude of AC current is represented by the peak value of the current waveform. This value is equal to the maximum rate of change of charge, or the maximum value of the derivative of charge with respect to time, which is i(t).
No, i(t) is a scalar quantity and does not have a direction. It represents the magnitude of the AC current at any given moment.
i(t) is important because it is the variable that represents the flow of electric charge in an AC circuit. By understanding the behavior of i(t), we can analyze and predict the behavior of AC circuits and design them for specific purposes.