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Chapter 28: Problem 38

(a) A \(2.2-\) H inductor is connected across \(120-\mathrm{V}\) rms, \(60-\mathrm{Hz}\) power. Find the rms inductor current. (b) Repeat if the same inductor is connected across the \(230-\mathrm{V}\) rms, \(50-\mathrm{Hz}\) power commonly used in Europe.

Short Answer

Expert verified
The rms inductor current for scenario (a) is calculated as \(I = 120 / Z\) and for scenario (b) is calculated as \(I = 230 / Z\).

Step by step solution

01

Calculate impedance for scenario (a)

Here, the frequency f = 60Hz and inductance L = 2.2H. Impedance Z can be calculated as follows using the formula \(Z = 2\pi fL\) : So \(Z = 2 \pi * 60 * 2.2\)
02

Calculate rms inductor current for scenario (a)

For scenario (a), the voltage V = 120V. The inductor current can be calculated using the formula \(I = V/Z\): So \(I = 120 / Z\).
03

Calculate impedance for scenario (b)

For scenario (b), the frequency f = 50Hz and inductance L = 2.2H. So, the Impedance \(Z = 2\pi * 50 * 2.2\).
04

Calculate rms inductor current for scenario (b)

For scenario (b), the voltage V = 230V. The inductor current can be calculated \(I = V/Z\), so \(I = 230 / Z\)

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Most popular questions from this chapter

You're concerned about a circuit that will be used in a remote communications installation. The series RLC circuit with \(R=5.5 \Omega, L=180 \mathrm{mH},\) and \(C=0.12 \mu \mathrm{F}\) is connected across a sine-wave generator. The inductor can safely handle 1.5 A of current. The peak generator output when it's tuned to resonance will be \(8.0 \mathrm{V} .\) Will the inductor current stay within a safe limit?

An inductor and capacitor are connected in series across an AC generator, and the voltage across the inductor is higher than across the capacitor. Is the generator frequency above or below resonance?

Your university's FM station broadcasts at \(89.5 \mathrm{MHz}\). The \(L C\) circuit that establishes this frequency has a 47 -pF capacitor. What's the corresponding inductance?

A series \(R L C\) circuit has \(R=18 \mathrm{k} \Omega, C=14 \mu \mathrm{F},\) and \(L=0.20 \mathrm{H}\) (a) At what frequency is its impedance lowest? (b) What's the impedance at this frequency?

A series \(R L C\) circuit has power factor 0.80 and impedance \(100 \Omega\) at \(60 \mathrm{Hz}\). (a) What's the resistance? (b) If the inductance is \(0.10 \mathrm{H},\) what's the resonant frequency?
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