In Dhaka city during the month of May, a 20W rated solar panel supplies 15W of power at an output voltage of 15V & an output current of 1A

In Dhaka city during the month of May, a 20W rated solar panel supplies 15W of power at an output voltage of 15V & an output current of 1A. But during the month of December, the same solar panel supplies 8.5W of power at an output voltage of 10.5V & an output current of 0.81A. The solar panel is used to charge a 12V battery. Practically, for charging a 12V battery we need to supply 13V. i) In the month of May, the user will need a DC-DC converter (Buck) to charge the battery. a) What will be the duty cycle? b) Assuming that the converter is 100% efficient, what will be the input current to the battery? ii) In the month of December, the user will need a different DC-DC converter (Boost) to charge the battery. a) What will be the duty cycle? b) Assuming that the converter is 100% efficient, what will be the input current to the battery?