A step down chopper has Vs = 230 V and R = 10 Ω. For a duty cycle of 0.4, the power taken by the chopper is 2097 Watts. Find the chopper efficiency. Take the voltage drop across the chopper switch as 2 V

To find the chopper efficiency, we can use the formula for efficiency (η) of a chopper:

[

eta = frac{P_{out}}{P_{in}} times 100%

]

where:

– ( P_{out} ) is the output power,

– ( P_{in} ) is the input power.

1. Calculate the output power ( P_{out} ):

The power taken by the chopper is given as 2097 Watts. Therefore, ( P_{out} = 2097 , W ).

2. Calculate the input power ( P_{in} ):

The input voltage ( V_s ) is 230 V, and the duty cycle ( D ) is 0.4. First, calculate the average output voltage across the load:

[

V_{out} = D times V_s = 0.4 times 230 , V = 92 , V

]

The current ( I ) through the load can be calculated using Ohm’s law:

[

I = frac{V_{out}}{R} = frac{92 , V}{10 , Omega} = 9.2 , A

]

The output power can also be calculated as:

[

P_{out} = V_{out} times