Boost converters boost the input voltage higher

## Circuit Diagram Edit

## Analysis Edit

### Voltage Relationship Edit

### Boundary between dis and cts ConductionEdit

&

### Output Voltage Ripple Edit

If our output voltage is constant the output capacitors average current is zero.

Hence and So capacitor essentially smooths the output current wave form, filling in the supply gaps when the inductor is out of energy.

Ok so we know

so

We then have essentially the area under capacitor current shown in figure above(triangle).

during Toff the voltage across the inductor is Vo.

Note:

is the cut off frequency of the LC filter, hence it is very desirable for