AC current vs DC current, Need greater V max and I max?

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ipodtouch

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The AC current is much safer than the DC current on account of it having 0 current and voltage at a time.

Considering that the Average Power is lower than its DC counterpart for the I and V max values, I was wondering if an AC current needed greater I and V max in order to output the same power that a DC current does?
 
Kaplan FL 1 deals PS Passage actually explained how a defibrillator has an AC voltage, a step-up transformer has to be used, to create a output voltage that is much greater than the input voltage.

But you are connecting a lot of variables that may not actually be deduced linearly. For example, just because the AC current is cyclical can you truly assume that the "ultimate" AC Power is lower than the DC power?
 
Is it not? I'm not basing off the cyclical nature, but of the equations.

If DC has a Power of P=IV
AC has a Power of P(average)=(IV)/2

The I and V values indicating I(max) and V(max)


I don't see how it is not 1/2 the overall power of DC.
 
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