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A self commutating switch $SW$, operated at duty cycle $\delta$ is used to control the load voltage as shown in the figure

Under steady state operating conditions, the average voltage across the inductor and the capacitor respectively, are

  1. $V_{L}=0$ and $V_{c}=\dfrac{1}{1-\delta} V_{dc} \\$
  2. $V_{L}=\dfrac{\delta}{2}V_{dc}$ and $V_{c}=\dfrac{1}{1-\delta} V_{dc} \\$
  3. $V_{L}=0$ and $V_{c}=\dfrac{\delta}{1-\delta} V_{dc} \\$
  4. $V_{L}=\dfrac{\delta}{2}V_{dc}$ and $V_{c}=\dfrac{\delta}{1-\delta} V_{dc}$
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