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Quick check from College Physics, 21.6 DC Circuits Containing Resistors and Capacitors
When is the potential difference across a capacitor an emf?
Answer it in your own words before you look.
Only when the current being drawn from or put into the capacitor is zero. Capacitors, like batteries, have internal resistance, so their output voltage is not an emf unless current is zero. This is difficult to measure in practice so we refer to a capacitor’s voltage rather than its emf. But the source of potential difference in a capacitor is fundamental and it is an emf.
How did it go?