Buck Boost Converter

Consider the following circuit:

The voltage source is a \( 10 V \) DC supply. The positive terminal of the supply is connected to the switch. The inductance is \( 1 mH \). The capacitance is \( 1 \mu F \). The diode is ideal.

Initially, the switch is off, and the inductor and the capacitor are both unenergized. The switch is turned on for \( 1 ms \), and then turned off. Determine the magnitude of the final voltage on the capacitor. Express your answer in volts and round off to the nearest integer.

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