GATE Electrical Engineering (EE) 2016 Shift 2 Solved Paper

A DC-DC boost converter, as shown in the figure below, is used to boost $360\mathit{V}$ to $400\mathit{V}$, at a power of $4\mathit{k}\mathit{W}$. All devices are ideal. Considering continuous inductor current, the rms current in the solid state switch (S), in ampere, is _________.