How Do You Calculate Capacitance in an AC Circuit with a Phase Difference?

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Homework Help Overview

The discussion revolves around calculating the capacitance of a capacitor in an AC circuit where a resistor is connected in series. The circuit operates at a frequency of 50 Hz and has a phase difference of 30 degrees between the voltage and current.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between reactance, resistance, and capacitance, with one participant attempting to use the formula for reactance and expressing uncertainty about incorporating the phase difference into their calculations.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been suggested regarding the relationships between voltage and current in the circuit, but no consensus or resolution has been reached.

Contextual Notes

Participants note the absence of maximum voltage and current values, which may affect their ability to calculate capacitance directly. The phase difference is also a point of confusion that remains unaddressed.

delsoo
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Homework Statement


a resistor of 1000 ohm is connected in series to a capacitor and ac supply of frquency 50hz, if the phase diffennce of voltage supplied and current of circuirt is 30 degree, what's the capacitance of capacitor? the V max and I max in not given , how to do this ? help please!


Homework Equations





The Attempt at a Solution

 
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delsoo said:

Homework Statement


a resistor of 1000 ohm is connected in series to a capacitor and ac supply of frquency 50hz, if the phase diffennce of voltage supplied and current of circuirt is 30 degree, what's the capacitance of capacitor? the V max and I max in not given , how to do this ? help please!

Homework Equations



The Attempt at a Solution


You need to make an attempt.

At least indicate what you know regarding such a situation, and what you've tried.
 
since the reacatance(X c ) =V max/ I max . i let r = 1000 ohm = resistance, Xc also = //2pI (f)(C) , so i got 1000=1/2pi (50) (c) , but i don't know where to sub the 30 degree..
 
delsoo said:
since the reacatance(X c ) =V max/ I max . i let r = 1000 ohm = resistance, Xc also = //2pI (f)(C) , so i got 1000=1/2pi (50) (c) , but i don't know where to sub the 30 degree..

How is the instantaneous current passing through the resistor related to the instantaneous current coming into and out of the capacitor?


How is the instantaneous voltage across the resistor related to the instantaneous voltage across the capacitor?
 

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