A buck converter has an input current of 2.4 A while required output c...
Concept:
In a buck converter, the output voltage is given by
Vo = δVin
and Iin = δIo
Where Vo is the output voltage
Vin is the input voltage
Iin is the input current
Io is the output current
δ is the duty cycle
Calculation:
Given that, input current (Iin) = 2.4 A
Output current (Io) = 6 A
Duty cycle,

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Calculation of Duty Cycle
To find the duty cycle of the buck converter, we can use the formula:
Duty Cycle = Output Voltage / Input Voltage
Given:
Input Current (Iin) = 2.4 A
Output Current (Iout) = 6 A
Calculating Duty Cycle:
Since the converter is lossless, the input power is equal to the output power.
Input Power = Output Power
Vin * Iin = Vout * Iout
We know that Vout = Duty Cycle * Vin
Therefore, Vin * Iin = (Duty Cycle * Vin) * Iout
Duty Cycle = (Iin / Iout) = 2.4 A / 6 A = 0.4
Therefore, the duty cycle of the buck converter is 0.4, which means the switch is ON 40% of the time during each switching cycle.