A load resistance is capacitively coupled to the emitter in

A load resistance is capacitively coupled to the emitter in Figure 6–54. In terms of signal operation, the load appears in parallel with RE and reduces the effective emitter resistance. How does this affect the voltage gain?

Solution

Here this capacitor will allow all the AC signal to pass through it so that there is no drop in AC, the DC signal passes through the Re as the capacitor blocks the DC .

So our output signal which is generally AC mixed DC experiences resistance effect only at DC part and our original AC signal is safe.

While coming to your question for voltage gain calculations always prefer small signal analysis, in which as the capacitor is being short Re=0 so the current flowing through Rc increases and output voltage also increases...so voltage gain also increases...

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