Yes but counterbalanced by the opposite current component obeying ohm law.Surely only if there was a large DC component at t(0) ?
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Yes but counterbalanced by the opposite current component obeying ohm law.Surely only if there was a large DC component at t(0) ?
If you start at zero there is no opposite current component.Yes but counterbalanced by the opposite current component obeying ohm law.
Voltage is not zero.If you start at zero there is no opposite current component.
Fine. Still, di/dt is still finite.Voltage is not zero.
Fine. Still, di/dt is still finite.
But look at this apparent contradiction: voltage is not zero but current zero through an inductor at the instant of switching on. It seems to violate Ohm law.
Perhaps because Ohm's Law describes the behavior of current and voltage across a resistive component. When either capacitive or inductive reactance is added into the mix the voltage and current are related by time derivatives (leading to differential equations to solve) and you must know not only the instant value of the current and voltage but the recent history and near future of both together to be able to calculate the impedance.
If the waveforms are not periodic, and more strongly not sinusoidal, the solution requires more than simple arithmetic to derive.
Nature solves it much more elegantly. At the instant of switching on with maximum ac voltage across the inductor, there appear two current components: one regular ''ac'' component and another decaying dc component both obeying Ohm law
Where does this decaying dc component come from?Nature solves it much more elegantly. At the instant of switching on with maximum ac voltage across the inductor, there appear two current components: one regular ''ac'' component and another decaying dc component both obeying Ohm law but they are opposite and so add up to zero so that another natural law that current through an inductor can not change instantaneously is also obeyed!
Where does this decaying dc component come from?
What power source would that be before t(0) ?From the power source, of course.
What power source would that be before t(0) ?
Ohm's Law applies to R, L and C ckts (or any combo)
the math just gets messy
the Laplace xform simplifies it
Ohm law applies under steady state condition. During a transient, it does not apply due to presence of exponential factor in the equation for current.
Not accurate
it applies for complex function for i, v and z
exp, linear, diff eq, integral functions