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Homework Help Overview

The discussion revolves around calculating the theoretical phase difference between current and voltage in a circuit containing a resistor and an inductor, driven by a sinusoidal voltage source. The specific parameters include a 29-ohm resistor and an 11.1 mH inductor, with inquiries about the phase difference at frequencies of 20 Hz and 420 Hz.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of relevant equations to find the phase angle, with some confusion about the relationship between current and voltage across the inductor. There are attempts to clarify the correct expressions for current and voltage, as well as the need to consider the impedance of the inductor.

Discussion Status

Some participants have provided guidance on the approach to take, emphasizing the need to calculate current and voltage in polar form. However, there is a lack of consensus on the next steps, with some expressing confusion about the material and its presentation.

Contextual Notes

There are indications of varying levels of understanding among participants, with some noting the absence of calculus in their coursework, which may affect their ability to engage with the problem fully. Additionally, there is a mention of a box with a + and - symbol, suggesting a potential point of confusion regarding circuit components.

Sylvia
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Homework Statement


screen_shot_2015-02-27_at_6.39.04_pm.png

The circuit above has a 29
omegacap.gif
resistor and a 11.1 mH inductor. Calculate the theoretical phase difference between the current CPA and voltage VPB if the circuit is driven by a sinusoidal voltage source with a peak amplitude of 3.5 V at the following frequencies:

20 Hz
420 Hz

Homework Equations


tan(x) = (XL / R), XL = (omega)(L)

3. The Attempt at a Solution


I tried substituting into the given relevant equations, and for 20 Hz, I got 2.75 degrees. However, this is the wrong answer. Please help!
 
Last edited by a moderator:
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Your relevant equation would give you the phase angle of the overall impedance, and that would in turn tell you the phase angle of the current with respect to the source voltage. But the question is asking you to compare the current's phase to that of the voltage across the inductor. You'll need to find expressions for the current and for VPB.
 
Last edited:
So current = 3.5 V divided by Ztotal, and VPb = I * L * omega?
 
Sylvia said:
So current = 3.5 V divided by Ztotal, and VPb = I * L * omega?
That's the idea. Don't forget the "j" in the inductor's impedance.
 
Im confused about where to proceed from there (my professor has done a horrible job of teaching this subject and the textbook isn't making much sense to me unfortunately)
 
Sylvia said:
Im confused about where to proceed from there (my professor has done a horrible job of teaching this subject and the textbook isn't making much sense to me unfortunately)
Calculate the current and the voltage VPB. Put the results in polar form (magnitude and phase angle).
 
Uhhhh sorry I'm in the non-calculus based class...
 
Sylvia said:
Uhhhh sorry I'm in the non-calculus based class...
? No calculus involved. Just circuit rules like Ohm's law.
 
Calculate the theoretical phase difference between the current CPA and voltage VPB
When you look at this closely, you can see that the question being asked is quite basic: what is the phase difference between current through an ideal inductor and the voltage across that ideal inductor.

No calculations are needed! :smile:

BTW, anyone know what is supposed to be represented by that box with a + and - on it??
 
  • #10
NascentOxygen said:
BTW, anyone know what is supposed to be represented by that box with a + and - on it??

Ammeter?
 

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