Question

U. ULJCIULI YUUI UW WUJ WUL CUVCHULIJ. b. Calculate the frequency that you need to apply to both a 1uF capacitor and a 2.5mH inductor so the reactance of the component equals 500. Show your work and place your results in the appropriate place in the Function Generator - (ZOUT) section on the results sheet. U L . . -. ERA.for the comnonents in the Dhasars and AC Power section

Answer 1

The capacitive reactance is given as, $X_c = \frac{1}{wC}=\frac{1}{2\pi fC}$

For capacitive reactance to be $50\Omega$

$\Rightarrow 50\Omega = \frac{1}{2\pi fC}$

$\rightarrow f = \frac{1}{2\pi 50*1*10^{-6}} = 3183Hz$

The inductive reactance is given as, $X_L = wL = 2\pi fL$

For capacitive reactance to be $50\Omega$

$\Rightarrow 50\Omega = 2\pi fL$

$\rightarrow f = \frac{50}{2\pi *2.5*10^{-3}} = 3183Hz$