Question

# A transformer- coupled de-dc converter is shown below. It is used to transfer power from one de voltage source to another de voltage source. Assume the transistor switch, transformer, and

diode are ideal What is the voltage conversion ratio Va/V1 for this converter assuming periodic steady-state continuous conduction mode operation? [Select the one best answer from the choices givenbelow] \text { (a) } \frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}=\frac{\mathrm{N}_{1}}{\mathrm{~N}_{2}} \frac{\mathrm{D}}{1-\mathrm{D}} \text { (b) } \frac{V_{2}}{V_{2}}=\frac{N_{1}}{N_{2}} \frac{1}{1-D} \text { (c) } \frac{V_{2}}{V_{1}}=\frac{N_{1}}{N_{2}} D \text { (d) } \frac{V_{2}}{V_{1}}=\frac{N_{2}}{N_{1}} \frac{D}{1-D} \text { (e) } \frac{V_{2}}{V_{1}}=\frac{N_{2}}{N_{1}} \frac{1}{1-D} \text { (f) } \frac{V_{2}}{V_{1}}=\frac{N_{2}}{N_{2}} D \text { (g) } \frac{V_{2}}{V_{1}}=-\frac{N_{1}}{N_{3}} \frac{D}{1-D} \text { (h) } \frac{V_{2}}{V_{1}}=-\frac{N_{1}}{N_{2}} \frac{1}{1-D} \text { (1) } \frac{V_{2}}{V_{1}}=-\frac{N_{1}}{N_{2}} D \text { (i) } \frac{v_{2}}{v_{2}}=-\frac{N_{2}}{N_{1}} \frac{D}{1-D} \text { (k) } \frac{V_{2}}{V_{1}}=-\frac{N_{2}}{N_{1}} \frac{1}{1-D} \frac{V_{2}}{V_{1}}=-\frac{N_{2}}{N_{1}} D

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