In the boost converter above, the diode has forward voltage drop Va. You may model this voltage drop as independent of current. All other elements should be modeled as ideal.

In this problem,you will find how this voltage drop changes the equations of the discontinuous conduction mode of the boost converter. The transistor duty cycle is D. 4. Solve your equations to derive an expression for the voltage conversion ratio V/Vs in DCM. Your result will involve a quadratic expression. You are given the following values: • Vg = 12 • Vd = 1 • D = 0.4 • K = 0.075 Compute the output voltage V, and enter your value below.