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To find the output voltage (( V_{out} )) for a step-up (boost) chopper, we can use the formula:
[
V_{out} = frac{V_s}{1 – D}
]
Where:
– ( V_s ) is the input voltage,
– ( D ) is the duty cycle (in decimal form).
Given:
– ( V_s = 240 , V )
– ( D = 50% = 0.5 )
Substituting the values in:
[
V_{out} = frac{240}{1 – 0.5} = frac{240}{0.5} = 480 , V
]
Therefore, the output voltage for the step-up chopper is 480 V.