A power electronics device has an on-state power loss of 30 W and switching loss in watts

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A power electronics device has an on-state power loss of 30 W and switching loss in watts equal to 1.5 × switching frequency in kilohertz. The junction to case thermal resistance is 2.0°C/W, and the maximum allowable junction temperature Tjmax is 180°C. If the device case is mounted on a heat sink to limit the case temperature to 60°C, determine the maximum allowable switching frequency for this device.

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