What is the resulting current in a series circuit with a resistor and capacitor?

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Discussion Overview

The discussion revolves around calculating the resulting current in a series circuit that includes a resistor and a capacitor, given a sinusoidal voltage. Participants are exploring the implications of impedance and the phase of the current.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents an initial calculation for the current using the formula I = 250/sqrt(330^2 + 318^2), based on the given impedances and voltage.
  • Another participant corrects the voltage value in the formula to 240, suggesting the correct expression should be I = 240/sqrt(330^2 + 318^2).
  • There is a note that while the magnitude of the current has been determined, the phase of the current remains unspecified.
  • One participant expresses uncertainty about determining the phase of the current and invites others to contribute to that aspect.
  • A later reply indicates a willingness to attempt to calculate the phase in a future post.

Areas of Agreement / Disagreement

Participants agree on the need to calculate the current and have identified a correction regarding the voltage value. However, there is no consensus on the phase of the current, and uncertainty remains regarding its calculation.

Contextual Notes

Participants have not provided specific equations for determining the phase of the current, and assumptions regarding the circuit's behavior under sinusoidal conditions are not fully articulated.

patep023
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I have solved it (:

Homework Statement


Ir=Impedance of a resistor = 330
Ic=Impedance of a capacitor=318
V= Sinusoidal Voltage = 240 V (RMS) is applied across the series combination.
calculate the resulting current.

Homework Equations


Not sure

The Attempt at a Solution


I am really not sure how I would work out the resulting current.
Answer
I = 250/sqrt(330^2+318^2)
 
Last edited:
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I have solved it (:
Well done.
Please help others by explaining how you got the answer.
 
Should be 240/sqrt(330^2 + 318^2).
Also, you have determined the magnitude of the current but not its phase.
 
yes, sorry it's supposed to be 240 not 250. I am not sure what its phase is
 
patep023 said:
I am not sure what its phase is

Gonna take a shot at it?
 
Will do tomorrow
 

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