# What is the average voltage across the load and the average current through the diode?

In the circuit shown in the figure, the switch is operated at a duty cycle of 0.5. A large capacitor is connected across the load. The inductor current is assumed to be continuous. What is the average voltage across the load and the average current through the diode ?

$V_{load}=\frac{V_{source}}{1-D}$

$V_{load}=\frac{20}{1-0.5}$

$V_{load}=\frac{20}{0.5}$

$V_{load}=40 V$

For an ideal boost converter.

$V_{s}*I_{s}=V_{o}*I_{o}$

$I_{o}=\frac{V_{s}*I_{s}}{V_{o}}$

$I_{o}=\frac{20*4}{40}$

$I_{o}=2 A$

• This looks like homework. Show your calculations. Apr 11 '13 at 12:01
• Hello Rajesh. Homework (or homework-like) problems are welcome there, but you have to show that you tried to solve them and don't just dropped the assignment here. If you have no clue about how to proceed, then ask for directions. But maybe you would read something more about the topic. Apr 11 '13 at 12:56
• @ clabacchio : I'm looking for a better way to solve this. In nature there are atleast two ways to solve a problem at hand. Apr 11 '13 at 12:59