Derivative of current and voltage

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The discussion centers on the derivatives of current and voltage with respect to time, specifically in the context of inductors and capacitors. It highlights that while dI/dt in an inductor equals V/L and dV/dt in a capacitor equals I/C, these relationships are specific to those components. The conversation emphasizes that without defined circuit conditions, the derivatives lack meaningful context. Additionally, it touches on the concept of physical quantities, suggesting that the second derivatives of charge and magnetic flux could represent other physical quantities. Ultimately, understanding the derivatives requires clarity on the circuit's behavior and conditions.
Jhenrique
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Exist some physical quantity for the derivative of the current wrt time? Exist another too for the derivative of the voltage wrt time?
 
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Jhenrique said:
Exist some physical quantity for the derivative of the current wrt time? Exist another too for the derivative of the voltage wrt time?

In an inductor dI/dt = V/L and in a capacitor dV/dt = I/C
 
Jhenrique said:
Exist some physical quantity for the derivative of the current wrt time? Exist another too for the derivative of the voltage wrt time?

This is a meaningless question. Current is a function of what is happening in the circuit and so is voltage. You have to find the equations for the current and voltage and then, sure, you can take the derivative. You have not specified any conditions, so there is nothing to take a derivative OF.

As Jhenrique pointed out, for the very limited cases of an inductor and a capacitor there are specific relationships among voltage/current/inductance and voltage/current/capacitance
 
I don't know how the americans speak "grandeza física" (pt-br) in english. "Grandeza física" for me is: area A, volume V, voltage v, force F, work W, power P, velocity v, acceleration a, etc, etc. I think that the translate is "physical quantity". Anyway... the first derivative of the carge q(t) wrt time t results the current i(t), so, the 2nd derivative results another "physical quantity" ?(t) ?

Similarly, dΦ/dt = v(t), so d²Φ/dt² = ?(t)
 

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