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

[delsoo]

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

 

[SammyS]

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.

 

[delsoo]

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..

 

[SammyS]

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?