Then you adjust the frequency of the signal generator and you measure the voltage across the resistor for a range of frequencies e.g. from 10Hz to 10kHz.
@Ajay If there is no capacitor in the circuit then the voltage across the resistor will be constant and will not change as you change the frequency.
But when the capacitor is present the voltage across the resistor will be a function of frequency.
With the RLC circuit we get the peak in the voltage at the resonant frequency: ω² = 1/(LC)
When the reactance of the inductor and capacitor are the same something weird happens. The LC part of the circuit behaves as if it has a zero resistance.
That means the circuit behaves as if only the resistor is present i.e. all the voltage is dropped across the resistor.
So you're saying that on the left side 13/15 is positive while on the right side -21/43 is negative. And you can only get a negative number on the left side by adding a negative number to 13/15. Therefore 𝑥 must be negative. Yes?
Now, capacitors and inductors have a similar property that relates the current to the voltage, but for capacitors and resistors it does change with frequency.
To distinguish it from resistance we call it reactance and usually write it as X.
So for both capacitors and inductors we get: V = IX
where for a capacitor: X = 1/(ωC)
and for an inductor: X = ωL
Then finally, we use the term impedance to mean either resistance or reactance so impedance covers resistors, capacitors and inductors and indeed any combination of the three.
So it's really just different words to describe what is basically the same thing.
From which certain value can we use the term limit the value tends to something in macroscopic level. Or in other words from which value in the macroscopic case can we say its statistically significant and using a limit would give significant errors ?
Problem Solving Strategies
Problem Solving Strategies