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What is the basic capacitance law?
Q= C(Vc)
If voltage varies, the charge varies and there is a displacement current
True, ic(t)= C (dVc(t)/dt)
What is the integral form of capacitance law?

What is the differential form of capacitance law?
ic = C(dVc/dt)
What is the mathematical implication of the capacitance integral form?
The voltage across a capacitor must be continuous. It cannot jump instantaneously.
What is the mathematical implication of the capacitance differential form?
A capacitor in steady state acts as an open circuit
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