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A boost-regulator has an input volage of 5V and the average utput voltage of 15V. The duty cycle is
- a)5/2
- b)15/2
- c)3/2
- d)2/3
Correct answer is option 'D'. Can you explain this answer?
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A boost-regulator has an input volage of 5V and the averageutput volta...
Boost regulator is a step-up chopper
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A boost-regulator has an input volage of 5V and the averageutput volta...
Boost Regulator and its Operation
A boost regulator is a type of DC-DC converter that steps up the input voltage to a higher output voltage level. It operates based on the principle of inductor energy storage and release. The boost regulator circuit consists of an inductor, a switch (typically a transistor), a diode, and a capacitor.
The Duty Cycle and Output Voltage Relationship
The duty cycle of a boost regulator is defined as the ratio of the on-time of the switch to the total switching period. It determines the amount of energy transferred from the input to the output.
To understand the relationship between the duty cycle and the output voltage, let's consider the following equation:
Vout = Vin / (1 - D)
Where:
- Vout is the output voltage
- Vin is the input voltage
- D is the duty cycle
Given Data:
- Input voltage (Vin) = 5V
- Average output voltage (Vout) = 15V
We need to find the duty cycle (D).
Calculating the Duty Cycle:
From the equation mentioned above, we can rearrange it to solve for the duty cycle:
D = 1 - (Vin / Vout)
Substituting the given values:
D = 1 - (5 / 15)
D = 1 - (1/3)
D = 2/3
Therefore, the duty cycle is 2/3.
Answer Explanation:
The correct answer is option 'D' (2/3) because the duty cycle of the boost regulator is 2/3 when the input voltage is 5V and the average output voltage is 15V.
A boost regulator is a type of DC-DC converter that steps up the input voltage to a higher output voltage level. It operates based on the principle of inductor energy storage and release. The boost regulator circuit consists of an inductor, a switch (typically a transistor), a diode, and a capacitor.
The Duty Cycle and Output Voltage Relationship
The duty cycle of a boost regulator is defined as the ratio of the on-time of the switch to the total switching period. It determines the amount of energy transferred from the input to the output.
To understand the relationship between the duty cycle and the output voltage, let's consider the following equation:
Vout = Vin / (1 - D)
Where:
- Vout is the output voltage
- Vin is the input voltage
- D is the duty cycle
Given Data:
- Input voltage (Vin) = 5V
- Average output voltage (Vout) = 15V
We need to find the duty cycle (D).
Calculating the Duty Cycle:
From the equation mentioned above, we can rearrange it to solve for the duty cycle:
D = 1 - (Vin / Vout)
Substituting the given values:
D = 1 - (5 / 15)
D = 1 - (1/3)
D = 2/3
Therefore, the duty cycle is 2/3.
Answer Explanation:
The correct answer is option 'D' (2/3) because the duty cycle of the boost regulator is 2/3 when the input voltage is 5V and the average output voltage is 15V.
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A boost-regulator has an input volage of 5V and the averageutput voltage of 15V. The dutycycle isa)5/2b)15/2c)3/2d)2/3Correct answer is option 'D'. Can you explain this answer?
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