I don't know about hfc, but hFE is the amplification factor by which the transistor amplifies the base current. Therefore, if hFE is 100, the base current is amplified by a factor of 100.
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how to calculate the value of hfc for a given hfe
HFE is the gain of the transistor
It depends on which transistor. Typical values of hFe range between 50 and 400. It also depends on the configuration of the circuit, with hFe being a limiting factor, and most designs providing a gain less than hFe.
The total current in a transistor is the emitter current, which is the sum of the collector current and the base current. The ratio of collector current over base current, in linear mode, is beta-DC, or hFe. However, in order for linear mode to be true, the ratings of the transistor must not be exceeded, and the collector current must not be limited by the circuit. Note also that hFe is temperature dependent, and is expressed in the data sheet as a minimum, not an absolute value - it can vary from transistor to transistor.
Increasing base current causes a proportionate increase in collector current - proportionate to hFe, unless the transistor is operated outside of linear mode.