AC circuit

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I am writing this essay to explain to you what is going on in the circuit that was given to me. I will explain with the best of my knowledge so that you can fully understand what is happening in the circuit. The inductor and the wires are assumed as being ideal. The AC voltage source has an infinitely variable frequency (0≤f≤∞). The values of all the resistors, capacitor, and inductor are constant.
In this AC circuit, you can analyze that each resistor is in series with either an inductor, voltage source, or capacitor. Resistor 2 is in series with the capacitor. Resistor 3 is in series with the inductor. Resistor 1 is in series with the AC voltage source. From this, you can realize that they are now in parallel with each other once they have been in series with each other. The inductor is a coil of wire. Since we assumed the inductor is ideal, the resistance of the wire and capacitance is negligible. The voltage across the inductor has its own magnetic field. The current in the coil sets up the magnetic field. Since the inductor is ideal, it does not dissipate any energy. You have a changing current, di/dt, and it is decreasing because it is sinusoidal. In this AC circuit, there is an induced emf that is opposite of the current.
In this AC circuit, we will have several currents. For example, we will have a current through the capacitor, a current through the resistor, and a current through the inductor. For a sinusoidal voltage, the current in the inductor will always lag the voltage across it by ninety degrees. The current that is leaving the AC voltage source which is equivalent to the current that is through resistor 1. The current of the inductor and capacitor are both leaving the AC voltage source. You can find the...

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...quency and the inductor, V˪=IwL. The inductive reactance is found by multiplying the angular frequency by the inductor (X˪=wL). The amplitude of voltage across the inductor in an AC circuit is the current multiplied by the inductive reactance (V˪=IX˪). Once you have found your voltage amplitudes across the circuit, you are able to find the impedance of the circuit. To find the impedance you take the square root of all squares of the resistor plus (the inductive reactance minus capacitance reactance), Z=√R²+(X˪-Xc)². To find the phase angle you take the arctan of the inductive reactance minus the capacitance reactance divided by the resistor, ϕ=arctan(X˪-Xc)/R. The voltage and current is at its maximum is when they are in phase. To find the power, just multiply the current squared by the resistor (P=I²R). No power is loss occurs in an ideal inductor and capacitor.

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