Question

A step down chopper has input dc voltage of 220 v and r = 10 in series with l = 65 mh. If the load current varies linearly between 11 a and 17 a, then find the duty cycle

Answer 1

duty cycle is sunny Leone......

Answer 2

Answer:

The duty cycle is 0.7.

Explanation:

The duty cycle of the transformer is calculated as,

$\alpha=\frac{V_O}{V_I}$       (1)

Where,

α=duty cycle of the transformer

$V_O$=output voltage across a transformer

$V_I$=input voltage across a transformer

From the question we have,

The input voltage across a transformer($V_I$)=220 Volt

The resistance(R)=10Ω

The inductance(L)=65mH

The values of load current,

I₁=11A

I₂=17A

The average load current(I),

$I=\frac{I_1+I_2}{2}$     (2)

We get the following results by plugging the data into equation (2):

$I=\frac{11+17}{2}=\frac{28}{2}=14A$     (3)

The average output voltage,

$V_O=IR$

$V_O=14\times 10=140 volts$    (4)

By inserting the required values in equation (1) we get;

$\alpha=\frac{140}{220}$

$\alpha=0.7$

Hence, the value of the duty cycle is 0.7.

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