Why don't ideal diodes conduct with a 1kHz 10V P2P sine wave input?

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francisg3
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I have been given this problem as a homework assignment. I need to find the output voltage (V0) given an input of a 1kHz 10V peak to peak sine wave. According to the answer manual neither diode conducts. My reasoning behind this is that when the sine wave is +10V diode1 is reversed-bias and diode2 is forward biased and when the sine wave is -10V it's the opposite. Am I correct in saying so or is there another reason? Thank you.
 
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Yes, that is right.

It also applies for all other voltage levels in the sinewave.