Question

1. what is ( x_{lt} ) in this circuit?

3.53 kω
5.65 kω
9.42 kω
15 kω

Explanation:

Step1: Calculate the total inductance \(L_T\)

For inductors in series, \(L_T = L_1+L_2\). Given \(L_1 = 15\space H\) and \(L_2=25\space H\), then \(L_T=15 + 25=40\space H\)

Step2: Use the formula for inductive reactance \(X_L = 2\pi fL\)

Here \(f = 60\space Hz\) and \(L = L_T=40\space H\). Substitute into the formula: \(X_{LT}=2\pi\times60\times40\)

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LATEXBLOCK0
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Answer:

d. \(15\space k\Omega\)