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Whether the op amp output is "voltage" or "current" depends on the relative impedance of the op amp output and the load. When the op amp output impedance is much larger than the load impedance, it tends to be a current source, and vice versa.
For difference case:
"voltage" is for low output resistance and high input resistance;
"current" is for high output resistance and low_input resistance;
I agree with you this point. But, choosing between current or voltage not only depend on which kind of application, but also which freq. you want to design.
Eg.: when you want to design a high freq. communication system, it's obviously that voltage amplitude is quite small; but for some certain reasons unmatching appears on link or between link or receiver (transmitter) --> a current of very high amplitude certaintly occur --> perhaps burn the link or circuit.
Another example is that people ususlly use current amplifier in power amplifier (from low to high freq.) , usually in last stage, to raise power gain. And voltage amplifier often use in small signal amplifier to make the signal level to some limit before lead to another circuit (amplifier, mixer, demodulator...)
you can't take that kind of choises just becase you prefer one or another. To choise if will be "current" or "voltage" you ought to study applications and performance.
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