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