Measure both sides of an AC and DC circuit

Question

So I have recently begun messing with diodes and there use in converting AC to DC. What I am curious in trying to do is to hook up my dual channel oscilloscope on bother DC and AC side to view the save form both sides generate. My question is this, is this safe to do, could I damage my oscilloscope by having separate channels measure the voltage on either side of the bridge.

Below is an example of what I would like to try.

^{simulate this circuit – Schematic created using CircuitLab}

Answer 1

Yes, it's possible (likely, even). Most oscilloscopes have a common ground between channels, and common with earth. If you put two probes as you've shown above, the 12.6VAC in series with a diode will pass between the two probe grounds, which would be unfortunate (it could damage the probes or the oscilloscope).

For power supply work, I use a Tektronix TPS2024 which has four isolated channels- isolated from each other, and isolated from earth.