Peak Current of 0.03\mu F Capacitor on 2kV, 720Hz Line

[leolaw]

I am always confused with rms value and peak value, so here is the problem:

What will be the peak value of the current of a well-insulated 0.03\mu F capacitor connected to a 2.0-kV(rms) 720-Hz line?

So first I find the reactance of the capacitor, which is:
X_c=\frac{1}{2\pi fC}
7.4k \Omega

and then V_{rms} = I_rms * X_c
2*10^3 = I_{rms} (7.4 * 10^3)
I_{rms} = 2.7 * 10^{-1} A

so is this the right answer, or do i have to multiply it by \sqrt{2} to get the peak value?

 

[ehild]

I am always confused with rms value and peak value, so here is the problem:

What will be the peak value of the current of a well-insulated 0.03\mu F capacitor connected to a 2.0-kV(rms) 720-Hz line?
...
I_{rms} = 2.7 * 10^{-1} A

so is this the right answer, or do i have to multiply it by \sqrt{2} to get the peak value?

The peak value is sqrt(2) times the rms value, and the peak was asked...


ehild