Voltage amplitude is fixed. Any help is appreciated. Thanks!
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A circuit involving resistors, capacitors, and inductors is called an RLC circuit. A capacitor-resistor circuit is an RC circuit and an inductor-resistor circuit is an RL circuit. If all three are present, the circuit will have a resonant frequency: when this frequency is applied, the voltage and current transferred will be at their highest; all other frequencies will have lower responses. Through a capacitor, the current increases with frequency (complex impedance of a capacitor is 1/jwC). Through an inductor, the current decreases with frequency (complex impedance of an inductor is jwL). The current through a resistor depends only on the present voltage and does not depend on frequency.
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Remember: "j(omega)" = "jw" comes from 1) finding the relationship between V and I, 2) taking the Laplace transform (which takes a function of TIME [t] and turns it into a function of FREQUENCY [s]) of it, and 3) replacing the 's' in the result by "jw" (j = sqrt(-1) 'w' = omega, a frequency)
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Current through inductor decreases (X of L increases) i = V/XL
Current through resistor stays the same (Resistance remains constant) i = V/R
Current through a capacitor increases (X of C decreases) i = V/XC
Current through resistor stays the same (Resistance remains constant) i = V/R
Current through a capacitor increases (X of C decreases) i = V/XC