Hi to all then Keep in mind that the amplification is a current amplifier not a voltage amplifier. and the amplification is not relative to the battery current, it is collector current relative to the base current. The current (energy) has to come from somewhere, there is no free lunch, and this somewhere is the battery. It is easy to take a transistor and simulate a voltage amplifier, just add resistors to the base and collector and take voltage taps off the resistors.
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