jangyasinniTeacher
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To find the input current in the chopper circuit, we can use the formula for power, which is:
[ text{Power} = text{Voltage} times text{Current} ]
The output power ((P_{out})) is given as 16 watts, and the efficiency ((eta)) of the chopper is 80% (or 0.8). The input power ((P_{in})) can be calculated using the efficiency:
[
eta = frac{P_{out}}{P_{in}}
]
So, rearranging this gives us:
[
P_{in} = frac{P_{out}}{eta} = frac{16 text{ watts}}{0.8} = 20 text{ watts}
]
Now, we know that the input power is also equal to the product of the input voltage and the input current:
[
P_{in} = V_{in} times I_{in}
]
Plugging in the values:
[
20 text{ watts} = 20 text{ V} times I_{in}
]
Now, solving for (I_{in}):
[
I_{in} = frac{20 text{ watts}}{20 text{ V}} = 1 text{ A}
]
Thus, the value of the input current is 1 A.