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The converter operates with two switching intervals during each switching period of length Ts. For 0 < t < DT,, the semiconductors labeled "1" conduct. For DT, < t < Ts, the semiconductors and switch labeled "2" conduct. The transformer has turns ratio 1:n and magnetizing inductance LM referred to the primary winding. For this problem, you may assume that all elements are lossless. Your answers should be expressed as functions of the following variable names: • Input voltage: Vg • Output voltage (Capacitor C1 voltage): VLoad resistance: R • Magnetizing current, referred to primary: IM •Magnetizing inductance, referred to primary: LM •Capacitor C2 voltage: VC2 •Turns ratio: n •Duty cycle: D •Switching period: Ts These variable names are case-sensitive. The input voltage Vg is positive. In your analysis, you should define the directions of the inductor currents and capacitor voltages so that these quantities are positive. All inductances and capacitances are large in value, so that the converter operates in the continuous conduction mode. Question 6: Use volt-second balance on all inductors and charge balance on all capacitors, to solve for the dc components of all capacitor voltages and inductor currents. Enter your expression for the output voltage V below. Your expression should depend on the variables Vg, D, and n.

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