I continue asking more and more unusual, odd and, sometimes, a little "provocative" questions-:) about the most fundamental circuit ideas with the purpose to demolish the dominating formal, dull and sterile circuit doctrines (explanations that do not explain anything). I have not still given up a hope that some reputable circuit designers will join our discussions to find together, with my colleagues from the technical universities and colleges, the truth about circuits...
I have already asked a similar question but about the possibility to inject the input current into the BJT collector:
https://www.researchgate.net/post/Can_we_reverse_a_BJT_by_injecting_the_input_current_into_the_collector_and_taking_the_base-emitter_voltage_as_an_output
There I noted the bipolar transistor is a unidirectional device in which we apply the input voltage across its base-emitter junction and take the collector current as an output; thus the BJT can be thought as a kind of a unidirectional voltage-to-current converter. Then, my question was, "Is it possible to swap the quantities - to use the collector current as an input and the base-emitter voltage as an output?" with the purpose to obtain the opposite current-to-voltage converter. The answer was, "Yes, we can do it if we only apply a "parallel" negative feedback simply connecting the collector to the base". Thus we made the transistor adjust its base-emitter voltage so that to pass the desired collector current... and this helped us to explain how the ubiquitous current mirror acts...
The dual question - "Is it possible to use the emitter current as an input and the base-emitter voltage as an output?", is no less interesting. If we manage to answer it, we can explain how a BJT can be biased from the side of the emitter (e.g., in the differential amplifier) and how it can be driven by passing the input current through the emitter (e.g., in the exotic cascode circuits). BTW do not take this arrangement for the common-base amplifying stage (another exotic and paradoxical arrangement deserving a special question) where we drive the transistor from the side of the emitter with a voltage but not with a current...
Try to answer this question on your own. If you experience a difficulty, you can look also at these Wikipedia and Wikibooks stories:
http://en.wikipedia.org/wiki/Differential_amplifier#Operation
http://en.wikipedia.org/wiki/Operational_amplifier#Biasing_circuit
http://en.wikibooks.org/wiki/Circuit_Idea/Revealing_the_Truth_about_ECL_Circuits#...from_the_side_of_the_emitter
http://en.wikipedia.org/wiki/Talk:Emitter-coupled_logic#...from_the_side_of_the_emitter
This specific circuit questions is closely related to the general question about the unique property of negative feedback systems to "reverse" circuits (to swap their inputs and outputs):
https://www.researchgate.net/post/Can_we_reverse_swap_the_input_and_output_of_any_unidirectional_device_by_applying_a_negative_feedback_If_yes_what_will_be_the_use_of_this_trick