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The $i-V$ characteristic of a $P-N$ junction diode is shown below. The approximate dynamic resistance of the $P-N$ junction when a forward bias of $2$ volt is applied
When the $P$ end of $P-N$ junction is connected to the negative terminal of the battery and the $N$ end to the positive terminal of the battery, then the $P-N$ junction behaves like
A triode has a mutual conductance of $2 \times 10^{-3} mho$ and an amplification factor of $50.$ The anode is connected through a resistance of $25 \times 10^3$ ohms to a $250$ volts supply. The voltage gain of this amplifier is