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I’m thinking of using a calibrated shunt and then measure the current ripple by measuring the voltage over the shunt, with an oscilloscope.

I’m assuming a differential probe would be the best choice to go by.

The thing I want to achieve with measuring this way instead of my other option current probe is a wider bandwidth and to measure faster rise and fall times or the current.

However I’m a bit unsure about the Pros and cons of doing so? compared to a current probe.