Question

1. the total impedance in this circuit is

a 970 ω
b 703 ω
c 502 ω
d 241 ω

Explanation:

Step1: Calculate inductive reactance \(X_L\)

The formula for inductive reactance is \(X_L = 2\pi fL\).
Given \(f = 23\times10^{3}\text{ Hz}\) and \(L=2.1\times 10^{- 3}\text{ H}\).

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Step2: Calculate total impedance \(Z\)

For a series \(RL\) - circuit, the impedance formula is \(Z=\sqrt{R^{2}+X_{L}^{2}}\). Given \(R = 400\ \Omega\) and \(X_L\approx305\ \Omega\).

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Answer:

C. \(502\ \Omega\) (the small difference is due to rounding - in - calculation differences)