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  1. Mean value theorem - Wikipedia

  2. Series RC Circuits - Amrita Vishwa Vidyapeetham Virtual Lab

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    If XL > XC, the combined circuit looks purely inductive to the source. If X C > X L, the circuit looks capacitive. The only real question left is how to determine the lengths of the two vectors for V L and V C. Our calculations for this circuit are based on Ohm's Law, just as they have been for other circuits. In general terms,
    So, here the given two roman numerals are ‘XC’ and ‘C’. We know that Roman numerals ‘C’ means Hundred. And for Roman numeral ‘XC’, X is placed before C means ten less than a hundred. So the meaning of ‘XC’ is ninety. So, XC = 90 X C = 90 and C = 100 C = 100.
    We also know that voltage lags current in a capacitance, so we showV C at -90°. And this gives us our first clue as to what is happening in this circuit and how we can get both V L and V C to be higher than the source voltage: they oppose each other, and at least partially cancel each other out.
    For a frequency of 1 MHz, Note that the difference between V L and V C is precisely 10 volts — the value of the voltage source. Nevertheless, the voltages across L and C each exceed the source voltage by several times. This is only possible because of the phase relationship between V L and V C: these voltages are always opposite in phase.
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  7. Series LC Circuits - Amrita Vishwa Vidyapeetham Virtual Lab

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