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Which of the following statement is true about RMS voltage?
- a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltage
- b)Most multi-meters measure RMS value assuming a non-sinusoidal waveform
- c)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same value
- d)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of current
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following statement is true about RMS voltage?a)RMS volt...
- RMS voltage of a sinusoidal waveform is directly proportional to the peak voltage.
For a sinusoidal waveform,
- Multimeters measure average value of voltage and current of different waveforms.
- The RMS value of a sinusoidal waveform gives half of the heating effect than a DC current of the same value.
- The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of current.
Most Upvoted Answer
Which of the following statement is true about RMS voltage?a)RMS volt...
RMS Voltage
RMS voltage, also known as root mean square voltage, is a measure of the average voltage of an alternating current (AC) waveform. It is commonly used to represent the effective voltage of a sinusoidal waveform.
Explanation of the Correct Answer
The correct answer is option 'D': The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of current.
To understand why this statement is true, let's break it down into two parts: the ratio of RMS voltage to the maximum voltage, and the ratio of RMS current to the maximum current.
1. Ratio of RMS Voltage to Maximum Voltage:
- The maximum voltage, also known as peak voltage, is the highest value reached by an AC waveform.
- The RMS voltage is calculated by taking the square root of the average of the squares of all the instantaneous voltage values over one complete cycle of the waveform.
- For a sinusoidal waveform, the RMS voltage is equal to the peak voltage divided by the square root of 2 (√2).
- Mathematically, RMS voltage = (Peak voltage) / √2.
- Therefore, the ratio of RMS voltage to the maximum voltage is 1/√2 or approximately 0.707.
2. Ratio of RMS Current to Maximum Current:
- Similar to the voltage case, the maximum current is the highest value reached by an AC waveform.
- The RMS current is calculated using the same method as RMS voltage, but applied to the instantaneous current values instead.
- For a sinusoidal waveform, the RMS current is also equal to the peak current divided by the square root of 2 (√2).
- Mathematically, RMS current = (Peak current) / √2.
- Therefore, the ratio of RMS current to the maximum current is also 1/√2 or approximately 0.707.
Conclusion
The RMS value of voltage and current is calculated by dividing their respective peak values by the square root of 2. The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of current, which is approximately 0.707. This relationship holds true for sinusoidal waveforms, and it is an important concept in AC circuit analysis and calculations.
RMS voltage, also known as root mean square voltage, is a measure of the average voltage of an alternating current (AC) waveform. It is commonly used to represent the effective voltage of a sinusoidal waveform.
Explanation of the Correct Answer
The correct answer is option 'D': The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of current.
To understand why this statement is true, let's break it down into two parts: the ratio of RMS voltage to the maximum voltage, and the ratio of RMS current to the maximum current.
1. Ratio of RMS Voltage to Maximum Voltage:
- The maximum voltage, also known as peak voltage, is the highest value reached by an AC waveform.
- The RMS voltage is calculated by taking the square root of the average of the squares of all the instantaneous voltage values over one complete cycle of the waveform.
- For a sinusoidal waveform, the RMS voltage is equal to the peak voltage divided by the square root of 2 (√2).
- Mathematically, RMS voltage = (Peak voltage) / √2.
- Therefore, the ratio of RMS voltage to the maximum voltage is 1/√2 or approximately 0.707.
2. Ratio of RMS Current to Maximum Current:
- Similar to the voltage case, the maximum current is the highest value reached by an AC waveform.
- The RMS current is calculated using the same method as RMS voltage, but applied to the instantaneous current values instead.
- For a sinusoidal waveform, the RMS current is also equal to the peak current divided by the square root of 2 (√2).
- Mathematically, RMS current = (Peak current) / √2.
- Therefore, the ratio of RMS current to the maximum current is also 1/√2 or approximately 0.707.
Conclusion
The RMS value of voltage and current is calculated by dividing their respective peak values by the square root of 2. The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of current, which is approximately 0.707. This relationship holds true for sinusoidal waveforms, and it is an important concept in AC circuit analysis and calculations.
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Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer?
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Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer?.
Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following statement is true about RMS voltage?a)RMS voltage of a sinusoidal waveform is inversely proportional to the peak voltageb)Most multi-meters measure RMS value assuming a non-sinusoidal waveformc)The RMS value of a sinusoidal waveform gives double the heating effect than a DC current of the same valued)The ratio of the RMS value of voltage to the maximum value of voltage is the same as the ratio of the RMS value of current to the maximum value of currentCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Railways tests.
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