Is there an example of what they are talking about? A number of different variables could come into play to make that statement void.It says on my text that the capacitive reactance should be small and the inductive reactance should be large. Whould you please tell me the reason with a simple illustration? Thank you!
It's a picky point, but you drop the j when talking about reactance. Reactance is a real number measured in ohms. Impedance is the complex quantity whose magnitude is also measured in ohms.Is there an example of what they are talking about? A number of different variables could come into play to make that statement void.
\(Capacitive \ reactance = -j\frac{1}{2\pi fC}\)
\(Inductive \ reactance = j2\pi fL\)
Each can be large or small depending on frequency, capacitance, or inductance.
Yeah, I meant impedance. Thanks for being so picky.It's a picky point, but you drop the j when talking about reactance. Reactance is a real number measured in ohms. Impedance is the complex quantity whose magnitude is also measured in ohms.
That adds a lot more context, but it is still pretty vague. Are you designing an oscillator circuit to produce the sinusoid, or taking an existing biased-sinusoid and filtering it to get a squarewave for the clock input?The original problem is:
A sinusoidal signal, v1(t)=2.5cos(wt),when added to a dc level of V2=2.5 V, provides a 0-to 5-V clock signal used to control a microprocessor. If the oscillation frequency of the signal is to be 1GHz, let us design the appropriate circuit by using a single capacitor and inductor.
The solution suggests that the capacitive reactance should be small, and the inductive reactance should be large while choosing C an L. I don't know why.
by Luke James