RL Circuit - Problem finding Unknown Inductor

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Discussion Overview

The discussion centers around solving for unknown parameters in an RL circuit, specifically focusing on the current (I), impedance (Z), voltage across the inductor (VL), inductive reactance (XL), and the inductance (L). The context includes mathematical reasoning and technical explanations related to circuit analysis.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant provides initial calculations for current (I) and impedance (Z), indicating values of 5 mA and 40 kΩ, respectively.
  • Another participant points out that the impedance (Z) is a complex quantity and suggests using the formula |Z| = √(R² + (ωL)²) to relate the components.
  • A participant expresses uncertainty about using the variable ω, indicating a lack of familiarity with its definition.
  • Further clarification is provided that ω = 2πf, which is acknowledged by another participant as new information.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to proceed with the calculations for VL, XL, and L. There is a mix of understanding regarding the use of ω in the context of the circuit analysis.

Contextual Notes

There are limitations in the discussion, such as the dependence on the definition of ω and the unresolved steps in calculating the unknown parameters. The complexity of impedance as a concept is also highlighted but not fully explored.

Brad1983
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Here is the circuit:
http://img840.imageshack.us/f/60205514.png/

I need to find:
I
Z
VL - Voltage on Inductor
XL
L

I have I and Z but I can not figure out VL, XL, and L. This is what I have for I and Z:
-----------------------------------------------
a.)
I= V_R / R = 170 V / 34 kΩ = 5 mA
b.)
Z = V_s/I = 200 V / 5 mA = 40 kΩ
------------------------------------------------

I know XL = 2 x pi x f x L

This is where I am stuck.
 
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Your Z in b.) is the magnitude of the impedance (impedance is a complex quantity). So write:

[tex]|Z| = \sqrt{R^2 + (\omega L)^2}[/tex]

Does that help?
 
gneill said:
Your Z in b.) is the magnitude of the impedance (impedance is a complex quantity). So write:

[tex]|Z| = \sqrt{R^2 + (\omega L)^2}[/tex]

Does that help?

not sure because we do not use OMEGA.
 
ω = 2πf
 
gneill said:
ω = 2πf

oh I did not know that. We do use 2*pi*f. Thanks gneill
 

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