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If you are testing in a ciruict it could be caused by almost anything (e.g. a capacitor). If you are testing the diode by itself then you probably have an open diode. Normally when testing foreward biased the diode should read .6 ohms and when testing reverse biased it should read 1.2k ohms. ...cont. Yeah if you're dead testing the diode with an ohmmeter and its giving you an infinite reading, you have a blown diode.

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Q: If the dmm probes were forward biased across a silicon diode and a resistance reading of infinity was observed what conclusion could be made about the diode?
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