3. what is ( x_{l2} ) in this circuit?
a 1.36 kω
b 1.88 kω
c 4.90 kω
d 6.78 kω

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for inductive reactance
The formula for inductive reactance is $X_{L}=2\pi fL$, where $f$ is the frequency and $L$ is the inductance.
## Step2: Identify the values for $L_2$ and $f$
Given $L_2 = 5\space mH=5\times10^{- 3}\space H$ and $f = 60\space kHz = 60\times10^{3}\space Hz$.
## Step3: Substitute the values into the formula
$$
\begin{align*}
X_{L2}&=2\pi fL_2\
&=2\times\pi\times60\times10^{3}\times5\times10^{-3}\
&=2\times\pi\times60\times5\
&=600\pi\
&\approx 1.88\space k\Omega
\end{align*}
$$

# Answer:
B. $1.88\space k\Omega$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for inductive reactance

Step2: Identify the values for \(L_2\) and \(f\)

Step3: Substitute the values into the formula

Answer: