A type A step down chopper has Vs = 220 V and is connected to RLE load. With R = 1 Ω, E = 24 V and L large enough to maintain continuous conduction. Find the average value of load current for a duty cycle of 30 %.

The average value of load current ((I_{avg})) in a type A step down chopper can be calculated using the following formula:

[

I_{avg} = frac{V_{o}}{R}

]

Where:

– (V_{o} = D cdot V_{s} – E) (average output voltage)

– (D) is the duty cycle (in decimal form)

– (V_{s}) is the input voltage (220 V)

– (E) is the back EMF (24 V)

– (R) is the load resistance (1 Ω)

Given:

– (D = 0.30)

– (V_{s} = 220 , V)

– (E = 24 , V)

– (R = 1 , Omega)

First, calculate (V_{o}):

[

V_{o} = D cdot V_{s} – E

]

[

V_{o} = 0.30 cdot 220 , V – 24 , V

]

[

V_{o} = 66 , V – 24 , V = 42 , V

]

Now calculate the average load current:

[

I_{avg} = frac{V_{o}}{R} = frac{42 , V}{1 ,