A DC-DC boost converter, as shown in the figure below, is used to boost 360 V to 400V at a power of 4 kW. All devices are ideal. Considering continuous inductor current, the rms current in the solid state switch (Q), is [Figure description: A 360 V DC source (+ at top) feeds a 10 mH inductor in the top wire; after the inductor, a MOSFET switch Q connects from the node down to the bottom rail, and a diode in the top wire continues to the output, where a 1 mF capacitor and the load (400 V output, + at top) are connected in parallel to the bottom rail.]
- A. 3.16 A
- B. 3.5 A
- C. 5 A
- D. 6.32 A
Answer: B. 3.5 A
Explanation: Boost converter inductor ripple and DC current calculations yield 3.5 A.