GATE EE 2015 Set 2 — Question 17
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Electrical & Electronic Measurements → Measurement Principles → Error Analysis
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Question
A capacitive voltage divider is used to measure the bus voltage in a high-voltage 50 Hz AC system as shown in the figure. The measurement capacitors and have tolerances of on their nominal capacitance values. If the bus voltage is 100 kV rms, the maximum rms output voltage (in kV), considering the capacitor tolerances, is _________.
Correct answer
11.75 to 12.25
Solution
The output voltage of the capacitive divider is given by the formula:
To find the maximum possible value of , we must maximize the ratio . This occurs when the numerator is at its maximum value and the denominator is minimized, which happens when is at its minimum value.
Given nominal values and tolerances:
Substituting these into the formula:
The specified range for the answer is 11.75 to 12.25.
To find the maximum possible value of , we must maximize the ratio . This occurs when the numerator is at its maximum value and the denominator is minimized, which happens when is at its minimum value.
Given nominal values and tolerances:
Substituting these into the formula:
The specified range for the answer is 11.75 to 12.25.
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