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I have a question to do with using PWM

If for example I had a 1ohm load and a voltage supply of 4JC

^{-1}, I would get a power draw of 16JS

^{-1}, now if I had a duty cycle of say 50% I should get an average power output of 8JS

^{-1}. However if i thought of it as having an average current of 2CS

^{-1}and a average voltage of 2JC

^{-1}then the power output comes out to be 4JS

^{-1}, which is 4 times less and not half. If it should be the half what does the actual voltage and current average out to?

Thank you very much.