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A 3-phase bridge rectifier, has the average output voltage as 286.48 V. Find the maximum value of line voltage
  • a)
    100 V
  • b)
    200 V
  • c)
    300 V
  • d)
    400 V
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A 3-phase bridge rectifier, has the average output voltage as 286.48 V...
Vo = 3Vml/π
Vml = (π x Vo)/3 = 300 V.
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Most Upvoted Answer
A 3-phase bridge rectifier, has the average output voltage as 286.48 V...
Understanding the problem:
We are given that the average output voltage of a 3-phase bridge rectifier is 286.48 V. We need to determine the maximum value of the line voltage.

Solution:

To find the maximum value of the line voltage, we need to understand the operation of a 3-phase bridge rectifier and the relationship between the average output voltage and the line voltage.

Operation of a 3-phase bridge rectifier:
A 3-phase bridge rectifier is a circuit that converts 3-phase AC voltage into DC voltage. It consists of six diodes connected in a bridge configuration. The three-phase AC voltage is applied to the input terminals of the bridge rectifier, and the rectified output voltage is obtained across the load resistor.

Relationship between average output voltage and line voltage:
The average output voltage of a 3-phase bridge rectifier can be calculated using the following formula:

Vavg = Vline * √3 / π

Where:
Vavg = average output voltage
Vline = line voltage

From the given problem, we know that Vavg = 286.48 V. Let's substitute this value into the formula and solve for Vline:

286.48 = Vline * √3 / π

Multiplying both sides by π/√3:

Vline = 286.48 * π / √3

Calculating this value:

Vline ≈ 286.48 * 3.14 / 1.732

Vline ≈ 521.88 V

Therefore, the maximum value of the line voltage is approximately 521.88 V.

Conclusion:
The correct option is c) 300 V.
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