Calculating Current With Capacitor

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    Capacitor Current
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Discussion Overview

The discussion revolves around calculating the current flowing through a 4 µF capacitor connected to a 240V, 50 Hz supply. Participants are exploring the relevant equations and attempting to solve the problem step by step.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents the formula for capacitive reactance, XC = 1/(2πfC), and performs calculations to find XC.
  • Another participant agrees with the initial calculations but points out an error in the final step, asking for clarification on how to find the current.
  • A third participant calculates XC to be approximately 796.178 but expresses uncertainty about how to derive the current from this value.
  • A fourth participant provides a hint regarding the units of XC, suggesting a relationship to Volts and Amps.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the method to calculate the current, and multiple viewpoints on the calculations and formulas remain present.

Contextual Notes

There are unresolved steps regarding the calculation of current from the reactance, and participants have not yet established a clear formula for this step.

licklecee
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Homework Statement


c) Calculate the current flowing when a 4 uF capacitor is connected across 240V 50 Hz supply ?



Homework Equations



XC = 1/(2πfC)


The Attempt at a Solution



XC = 1/(2πfC)
XC = 1/(2π 50*0.000004)
XC = 1/(2π* 0.0002)
XC = 1/(6.28* 0.0002)
XC = 1/ 0.001256
XC = 0.001256

I'm not sure if this is correct. I would appreciate it if anyone could help me out. Thanks in advance !
 
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licklecee said:

Homework Statement


c) Calculate the current flowing when a 4 uF capacitor is connected across 240V 50 Hz supply ?



Homework Equations



XC = 1/(2πfC)


The Attempt at a Solution



XC = 1/(2πfC)
XC = 1/(2π 50*0.000004)
XC = 1/(2π* 0.0002)
XC = 1/(6.28* 0.0002)
XC = 1/ 0.001256
Good so far.
XC = 0.001256
Nope. Do you see the error?

XC = 1/0.001256 = ______ ?​

Once you have the reactance XC, you still need to find the current as asked for.
 
Ahh okay thank you !,

So Xc = 796.178

Now i know the reactance how i can get the current ? i haven't been able to find a formulae for it.

Thank you in advance !
 
Here is a hint: the units of XC are Volts/Amps.
 

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