Solve Inductance Problem: 0.45 H, 120 V, 60 Hz

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Homework Help Overview

The problem involves an inductor with a specified inductance of 0.45 H and internal resistance of 2.5 Ω, connected to a 120-V (rms) source at a frequency of 60 Hz. The objective is to determine the rms current through the inductor.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between voltage, current, and impedance in an LR circuit, questioning the use of Ohm's law without considering inductive reactance.
  • Some participants express confusion regarding the calculation of impedance and the resulting current, with one participant noting a discrepancy in their results.
  • Questions arise about the application of complex number arithmetic in determining the impedance of the circuit.

Discussion Status

Contextual Notes

Participants are grappling with the implications of reactance and resistance in their calculations, and there is a noted confusion regarding the correct interpretation of the circuit parameters.

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Homework Statement



An inductor has an inductance of 0.45 H and internal resistance of 2.5 . If the H
inductor is connected to a 120-V (rms) source at 60 Hz, what is the current (rms) through
it?

Homework Equations



XL=2pi*f*L
V=IR

The Attempt at a Solution



I don't have any idea and my brain is wrecked! I'm having a difficult time finding this bridge.
 
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You don't want to use V=IR, that doesn't take into account the reactance of your inductor. For a simple LR circuit V=IZ.
 
Even using Z, I still arrive at 48 A. 120/2.5 = 48 A Which is not the correct answer. It is .7 A.
 
Last edited:
I get I = 0.707 A.
 
Z≠2.5Ω.
 
dwn said:

Homework Statement



An inductor has an inductance of 0.45 H and internal resistance of 2.5 . If the H
inductor is connected to a 120-V (rms) source at 60 Hz, what is the current (rms) through
it?
How do you determine the impedance of a series circuit of 0.45 H in series with a resistance of 2.5Ω ? You have studied complex number arithmetic?
 

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