2. ( x_{l2} ) in this circuit is
a 1.8 kω
b 2.5 kω
c 6.5 kω
d 9.0 kω

Question

2. ( x_{l2} ) in this circuit is
 a 1.8 kω
 b 2.5 kω
 c 6.5 kω
 d 9.0 kω

Accepted Answer

# Explanation:
## Step1: Recall the formula for inductive reactance
The formula for inductive reactance is $X_{L}=2\pi fL$.
## Step2: Substitute the values of $f$ and $L$
Given $f = 8\times10^{3}\text{ Hz}$ and $L = 0.05\text{ H}$.
$$
\begin{align*}
X_{L2}&=2\pi\times(8\times 10^{3})\times0.05\
&=2\times3.14\times8\times10^{3}\times0.05\
&=6.28\times8\times10^{3}\times0.05\
&=6.28\times400\
& = 2512\Omega\
&\approx2.5k\Omega
\end{align*}
$$

# Answer:
B. $2.5k\Omega$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for inductive reactance

Step2: Substitute the values of \(f\) and \(L\)

Answer: