8/18/2019 The Implication of Assuming Steady State Condition is That the Inductor Current Will Be Periodic

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The implication of assuming steady state condition is that the inductor current will be periodic. That is,

Inductor current,

Multiplying both sides by

 As we can see, the LHS is just the aerage inductor oltage. This is also !nown as the inductor olt"

second balance which states that the aerage inductor oltage is # for periodic inductor current.

Similarly, for a capacitor in steady state, we can write

$apacitor oltage,

Multiplying both sides by

Thus, under steady state condition, the aerage capacitor current is # oer a cycle. This is also !nown as

the capacitor charge balance.