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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Range of the Duty Ratio is ________________
to 1
to 100
to 1
100 to 100
to 1
Quick Summary: The duty ratio (or duty cycle) is defined as the ratio of the pulse duration (on-time) to the total time period of a signal. Since the pulse duration $T_{on}$ cannot be negative and cannot exceed the total period $T$, the range is bounded between 0 and 1 (inclusive).
The duty ratio (or duty cycle) is defined as the ratio of the pulse duration (on-time) to the total time period of a signal. Since the pulse duration Ton cannot be negative and cannot exceed the total period T, the range is bounded between 0 and 1 (inclusive).
D=TTon — Definition of Duty Ratio
Vout=D⋅Vin — Output voltage of a Buck converter in terms of duty ratio
In pulse-width modulation (PWM) and switching converters, a periodic signal alternates between two states, typically high and low. If Ton is the time the switch is closed and Toff is the time it is open, the total period is T=Ton+Toff. The duty ratio D is D=Ton+ToffTon.
Duty ratio is a dimensionless quantity.
A duty ratio of 0 represents a signal that is always OFF (0% duty cycle).
A duty ratio of 1 represents a signal that is always ON (100% duty cycle).
In power electronics, varying the duty ratio is the primary method for controlling voltage in DC-DC converters.
Allows efficient voltage regulation without significant resistive losses.
Enables precise control of power delivery to loads.
Extreme duty ratios (very close to 0 or 1) can cause control stability issues.
High switching frequencies associated with duty cycle control can increase electromagnetic interference (EMI).
DC-DC Converters (Buck, Boost, Buck-Boost)
Motor Speed Control (PWM control)
LED Dimming circuits
In industry, duty cycle is often expressed as a percentage, meaning the range 0 to 1 corresponds to 0% to 100%.
Option B (0 to 100) is technically a percentage representation, but the standard scientific definition for the duty ratio variable itself is 0 to 1.
A is correct — The duty ratio is mathematically defined as the ratio of on-time to total period, constraining its range to the interval [0, 1].
Remember that while duty ratio ranges from 0 to 1, the duty percentage ranges from 0% to 100%; always clarify the units in competitive exams.