Guys, for this circuit
http://www.arachnoid.com/sage/graphics/e…
Can I say that the current across the resistor Rc is equal to the current across the capacitor and the current across the resistor RL is equal to the current across the inductor? And is it also true for DC current?
http://www.arachnoid.com/sage/graphics/e…
Can I say that the current across the resistor Rc is equal to the current across the capacitor and the current across the resistor RL is equal to the current across the inductor? And is it also true for DC current?
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If Rc is meant to represent the equivalent leakage resistance of the capacitor C then i believe it should be drawn in parallel with C instead of in series with C.
Never the less if the drawing is correct then;
You can say that the current through Rc is equal to the current through the capacitor in the circuit shown in the drawing. You can also say that the current through the resistor RL is equal to the current through the inductor.
When two components are in series with each other the current through each of the components is exactly equal regardless of whether the current is ac or dc.*
*Contrary to what is often said, a capacitor does not block dc current. A capacitor only blocks a steady state dc current. A capacitor`s impedance to a changing dc current is a function of both the rate of change in the dc current and the capacitance value of the capacitor.
Never the less if the drawing is correct then;
You can say that the current through Rc is equal to the current through the capacitor in the circuit shown in the drawing. You can also say that the current through the resistor RL is equal to the current through the inductor.
When two components are in series with each other the current through each of the components is exactly equal regardless of whether the current is ac or dc.*
*Contrary to what is often said, a capacitor does not block dc current. A capacitor only blocks a steady state dc current. A capacitor`s impedance to a changing dc current is a function of both the rate of change in the dc current and the capacitance value of the capacitor.
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The current through the Rc resistor is the same as the current through the capacitor, since these two components are connected in series.
Similarly, the current through the Rl resistor is the same as the current through the inductor, because the components are connected in series.
Additionally, the voltage across the Rc + C branch is the same as the voltage across the Rl + L branch, because these two branches are connected in parallel. Note that this parallel connection applies to the whole branch, not just the resistors or capacitor or inductor.
Finally, these relations between current and voltage are true at all frequencies, including DC.
We treat DC as having a frequency of 0 Hz.
However, at DC, the capacitor will have zero current flowing through it, and the inductor will have zero voltage across it. Thus, the voltage across the capacitor will equal the source voltage, and the current through the Rl resistor will be I = Vsource / Rl.
Addendum: "Changing DC" is not DC... Think about it.
Similarly, the current through the Rl resistor is the same as the current through the inductor, because the components are connected in series.
Additionally, the voltage across the Rc + C branch is the same as the voltage across the Rl + L branch, because these two branches are connected in parallel. Note that this parallel connection applies to the whole branch, not just the resistors or capacitor or inductor.
Finally, these relations between current and voltage are true at all frequencies, including DC.
We treat DC as having a frequency of 0 Hz.
However, at DC, the capacitor will have zero current flowing through it, and the inductor will have zero voltage across it. Thus, the voltage across the capacitor will equal the source voltage, and the current through the Rl resistor will be I = Vsource / Rl.
Addendum: "Changing DC" is not DC... Think about it.
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if you say the current through the ... instead of the current across the ....
I will say YES!!
I will say YES!!