Determine duty cycle.

This question was previously asked in

UPPCL JE EC 25 March 2021 Official Paper (Shift 1)

Option 4 : 10%

CT 1: Network Theory 1

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10 Questions
10 Marks
10 Mins

**Concept:**

The duty cycle for an alternating quantity describes the fraction of time that the pulse is ON in one pulse period.

Mathematically, this is defined as:

Duty Cycle = \(\frac{T_{on}}{T_{on}+T_{off}}\)

Ton = Time for which the output is ON

Toff = Time for which the output is OFF

Also, Time period is the sum of the ON time and OFF time, i.e.

T = Ton + Toff

Duty Cycle = \(\frac{T_{on}}{T}\)

∴ The duty cycle for repetitive waveform is defined as the ratio of ON time to Total time.

**Calculation:**

Ton = 1 ms

Toff = 9 ms

T = 10 ms

Duty Cycle = \(\frac{T_{on}}{T}\)

\(Duty \ cycle=\frac{1 \ \times\ \ 100}{10}\)

**Duty Cycle = 10%**

Hence **option (4)** is the correct answer.