- #71
The Electrician said:So if we put in the overlines where they belong, then these two lines make sense:
[tex]\text{At any instant, applied voltage }V = V_R + V_L\text{ (Refer fig 5.5)}[/tex]
[tex]\text{Applied voltage }\overline{V} = \overline{I} R + j\overline{I} X_L = \overline{I}(R + jX_L)[/tex]
In the first equation, V and I refer to instantaneous values, and the second equation they refer to RMS values.
The Electrician said:Now do you see why I wanted pictures?...
Urmi Roy said:The first equation must be a phasor addition,not a simple addition,I suppose...(sorry if this is too obvious)...
Urmi Roy said:Also,if the overlined quantities are actually the rms quantities,we shouldn't say they're the magnitudes of the current and voltage...since for one,the magnitude of voltage or current isn't the same as the rms value...and the magnitude of instantaneous current or voltage varies with time
Urmi Roy said:(the total voltage drop in ac circuit may even be greater than the applied voltage, I once heard!)...[/B]
Urmi Roy said:I think I'm all muddled up...as you said,the phasor addition of the voltages across the capacitor(or any reactive member) is always equal to the magnitude of the applied voltage...but at the same time,in a series connection the applied voltage is equal to simple sum of the voltages across the two!How is this possible?
Urmi Roy said:In the picture of the textbook,the very first paragraph says that the V and I with the complex notation are not the voltage and current ...that's an interesting way to put it...
An inductor is an electrical component that stores energy in the form of a magnetic field. It typically consists of a coil of wire, often wound around a core material, and is used in circuits to control the flow of current.
An inductor charges by building up a magnetic field around itself when a current flows through it. The strength of the magnetic field is directly proportional to the amount of current flowing through the inductor.
Charging an inductor refers to the process of increasing the magnetic field around it by allowing current to flow through it. Discharging an inductor, on the other hand, refers to the process of decreasing the magnetic field by interrupting the flow of current.
Duality is a concept that describes the relationship between the electric and magnetic properties of an inductor. It explains that when an inductor is charging, it behaves like a short circuit for direct current (DC) and an open circuit for alternating current (AC).
The charging of inductors can have various effects on the overall circuit, depending on the specific application. In general, it can cause a delay in the flow of current, create a voltage drop, or act as a filter for certain frequencies in an AC circuit. It also plays a crucial role in energy storage and conversion in many electronic devices.