required information in the circuit below: va = 35 vac, f = 3.183 khz, r = 1.3 kω, and l = 27 mh. calculate…

required information in the circuit below: va = 35 vac, f = 3.183 khz, r = 1.3 kω, and l = 27 mh. calculate the inductive reactance xl of the inductor l. kω

required information in the circuit below: va = 35 vac, f = 3.183 khz, r = 1.3 kω, and l = 27 mh. calculate the inductive reactance xl of the inductor l. kω

Answer

Explanation:

Step1: Recall inductive - reactance formula

The formula for inductive reactance is $X_L = 2\pi fL$.

Step2: Convert units

Given $f = 3.183\ kHz=3183\ Hz$ and $L = 27\ mH = 0.027\ H$.

Step3: Substitute values into the formula

$X_L=2\pi\times3183\times0.027$. $X_L = 2\pi\times85.941$. $X_L\approx540\ \Omega$. Converting to $k\Omega$, we get $X_L = 0.54\ k\Omega$.

Answer:

$0.54$