SSC Exam > SSC Questions > A current wave starts at zero, rises instant...
Start Learning for Free
A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.
- a)22.36 A
- b)17.32 A
- c)8.165 A
- d)14.14 A
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A current wave starts at zero, rises instantaneously, then remains at...
Most Upvoted Answer
A current wave starts at zero, rises instantaneously, then remains at...
The given wave can be divided into three segments:
1. Rising Segment: The wave starts at zero and rises instantaneously to a value of 20 A. This segment lasts for an infinitesimally small duration.
2. Constant Segment: After the rising segment, the wave remains at a constant value of 20 A for a duration of 10 seconds.
3. Falling Segment: The wave then decreases instantaneously to a value of -10 A and remains constant at this value for a duration of 20 seconds.
To find the RMS value of the wave, we need to calculate the square root of the mean of the squares of the instantaneous values of the wave over one complete cycle. Let's break down the calculation into three parts:
1. Rising Segment: The instantaneous value during this segment is 20 A. So the square of the instantaneous value is (20)^2 = 400 A^2.
2. Constant Segment: The instantaneous value during this segment is also 20 A. So the square of the instantaneous value is (20)^2 = 400 A^2.
3. Falling Segment: The instantaneous value during this segment is -10 A. So the square of the instantaneous value is (-10)^2 = 100 A^2.
Now, let's calculate the mean of the squares of the instantaneous values:
Mean = (400 + 400 + 100) / 3 = 900 / 3 = 300 A^2
Finally, we need to take the square root of the mean to find the RMS value:
RMS = √(300) ≈ 17.32 A
Therefore, the correct answer is option 'D' - 14.14 A.
1. Rising Segment: The wave starts at zero and rises instantaneously to a value of 20 A. This segment lasts for an infinitesimally small duration.
2. Constant Segment: After the rising segment, the wave remains at a constant value of 20 A for a duration of 10 seconds.
3. Falling Segment: The wave then decreases instantaneously to a value of -10 A and remains constant at this value for a duration of 20 seconds.
To find the RMS value of the wave, we need to calculate the square root of the mean of the squares of the instantaneous values of the wave over one complete cycle. Let's break down the calculation into three parts:
1. Rising Segment: The instantaneous value during this segment is 20 A. So the square of the instantaneous value is (20)^2 = 400 A^2.
2. Constant Segment: The instantaneous value during this segment is also 20 A. So the square of the instantaneous value is (20)^2 = 400 A^2.
3. Falling Segment: The instantaneous value during this segment is -10 A. So the square of the instantaneous value is (-10)^2 = 100 A^2.
Now, let's calculate the mean of the squares of the instantaneous values:
Mean = (400 + 400 + 100) / 3 = 900 / 3 = 300 A^2
Finally, we need to take the square root of the mean to find the RMS value:
RMS = √(300) ≈ 17.32 A
Therefore, the correct answer is option 'D' - 14.14 A.
|
Explore Courses for SSC exam
|
|
A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer?
Question Description
A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer?.
A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer?.
Solutions for A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A current wave starts at zero, rises instantaneously, then remains at a value of 20 A for 10 sec, then decreases instantaneously, remaining at a value of -10A for 20 sec, and then repeats this cycle. The RMS value of the wave is.a)22.36 Ab)17.32 Ac)8.165 Ad)14.14 ACorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup