Final answer:
Replacing the half-wave rectifier with a bridge of diodes will lead to different waveforms in each component. Changing the capacitor for a larger one will affect the circuit's behavior and result in smoother waveforms with smaller ripple voltage.
Step-by-step explanation:
When replacing the half-wave rectifier with a bridge of diodes, the new waveforms v(t) and i(t) in each component will be different compared to what was obtained with the half-wave rectifier. In the bridge rectifier, both positive and negative half cycles of the input AC voltage are utilized, resulting in a higher average output voltage and smoother waveform compared to the half-wave rectifier.
Replacing the capacitor with a larger one will affect the behavior of the circuit. A larger capacitor will result in a longer charging time and a slower voltage rise, leading to a smoother waveform and a smaller ripple voltage across the capacitor. This can improve the effectiveness of the circuit in filtering out unwanted signals.