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To find the minimum steady state output current for the given step-down chopper, we can apply the following steps:
1. Calculate the Duty Cycle (D):
[
D = frac{T_{on}}{T_{chopping}} = frac{600 , mu s}{2000 , mu s} = 0.3
]
2. Calculate the average output voltage (Vout) of the step-down converter:
[
V_{out} = D cdot V_s = 0.3 cdot 220 V = 66 V
]
3. Calculate the output voltage across R, E, and L.
In steady state, the equation can be expressed as:
[
V_{out} = I cdot R + E
]
Where ( I ) is the steady-state output current.
4. Rearranging gives:
[
I = frac{V_{out} – E}{R}
]
Plugging in the values:
[
I = frac{66 V – 24 V}{1 , Omega} = frac{42 V}{1 , Omega} = 42 A
]
Thus, the value of the minimum steady-state output current is 42 A.