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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.
Reason (R): Peak value of the alternating voltage is 4√2 volt.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is true
Correct answer is option 'B'. Can you explain this answer?
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Directions : In the following questions, A statement of Assertion (A)...
Given alternating voltage V = 4√2 sin 314t. Where peak value = V0 = 4√2 volt. VRMS = V0/√2 = 4 volt. Hence both assertion and reason both are true. But the reason does not properly explain the assertion.
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Directions : In the following questions, A statement of Assertion (A)...
Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volts.
Reason (R): Peak value of the alternating voltage is 4√2 volts.
To understand the given statement and reason, let's break down the terms and concepts involved:
Alternating Voltage:
An alternating voltage is a type of electrical voltage that changes its magnitude and direction over time. It is typically represented by a sinusoidal waveform.
VRMS:
VRMS (Root Mean Square Voltage) is a measure of the average voltage of an alternating voltage waveform. It is calculated by taking the square root of the mean of the squares of the instantaneous voltage values over one complete cycle.
Peak Value:
The peak value of an alternating voltage is the maximum value it reaches during one complete cycle.
Now, let's analyze the given statements:
Statement (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volts.
The given alternating voltage waveform is V = 4√2 sin 314t.
To find the VRMS value, we need to calculate the average voltage over one complete cycle. Since the waveform is a sine wave, the average value over one complete cycle is zero.
However, the VRMS value is calculated by taking the square root of the mean of the squares of the instantaneous voltage values. In this case, the instantaneous voltage values are positive and negative, resulting in a non-zero VRMS value.
To calculate the VRMS value, we can use the formula:
VRMS = (Vpeak) / √2
The peak value of the given waveform is 4√2 volts. Substituting this value in the formula, we get:
VRMS = (4√2) / √2
= 4 volts
Therefore, statement (A) is true.
Statement (R): Peak value of the alternating voltage is 4√2 volts.
The peak value of an alternating voltage is the maximum value it reaches during one complete cycle. In this case, the given waveform is V = 4√2 sin 314t.
The amplitude of a sine wave represents the peak value. In this case, the amplitude is 4√2. Therefore, the peak value of the waveform is 4√2 volts.
Therefore, statement (R) is true.
Conclusion:
Both statement (A) and statement (R) are true. Statement (R) is the correct explanation of statement (A) because the VRMS value is calculated using the peak value of the alternating voltage. In this case, the VRMS value is 4 volts, which is the correct explanation based on the peak value of 4√2 volts.
Reason (R): Peak value of the alternating voltage is 4√2 volts.
To understand the given statement and reason, let's break down the terms and concepts involved:
Alternating Voltage:
An alternating voltage is a type of electrical voltage that changes its magnitude and direction over time. It is typically represented by a sinusoidal waveform.
VRMS:
VRMS (Root Mean Square Voltage) is a measure of the average voltage of an alternating voltage waveform. It is calculated by taking the square root of the mean of the squares of the instantaneous voltage values over one complete cycle.
Peak Value:
The peak value of an alternating voltage is the maximum value it reaches during one complete cycle.
Now, let's analyze the given statements:
Statement (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volts.
The given alternating voltage waveform is V = 4√2 sin 314t.
To find the VRMS value, we need to calculate the average voltage over one complete cycle. Since the waveform is a sine wave, the average value over one complete cycle is zero.
However, the VRMS value is calculated by taking the square root of the mean of the squares of the instantaneous voltage values. In this case, the instantaneous voltage values are positive and negative, resulting in a non-zero VRMS value.
To calculate the VRMS value, we can use the formula:
VRMS = (Vpeak) / √2
The peak value of the given waveform is 4√2 volts. Substituting this value in the formula, we get:
VRMS = (4√2) / √2
= 4 volts
Therefore, statement (A) is true.
Statement (R): Peak value of the alternating voltage is 4√2 volts.
The peak value of an alternating voltage is the maximum value it reaches during one complete cycle. In this case, the given waveform is V = 4√2 sin 314t.
The amplitude of a sine wave represents the peak value. In this case, the amplitude is 4√2. Therefore, the peak value of the waveform is 4√2 volts.
Therefore, statement (R) is true.
Conclusion:
Both statement (A) and statement (R) are true. Statement (R) is the correct explanation of statement (A) because the VRMS value is calculated using the peak value of the alternating voltage. In this case, the VRMS value is 4 volts, which is the correct explanation based on the peak value of 4√2 volts.
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer?
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer?.
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): VRMS value of an alternating voltage V = 4√2 sin 314t is 4 volt.Reason (R): Peak value of the alternating voltage is 4√2 volt.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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