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The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.
Correct answer is between '1.9,2'. Can you explain this answer?
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The magnetic flux density of an electromagnetic flow meter is 100 mWb/...
The given information:
- Magnetic flux density (B) = 100 mWb/m^2
- Diameter of the pipe (d) = 0.25 m
- Voltage generated (V) = 1 V
Formula:
The voltage generated in an electromagnetic flow meter is given by the equation:
V = B * d * v
Where:
V = voltage generated
B = magnetic flux density
d = diameter of the pipe
v = average velocity of the fluid
Calculating the average velocity:
Since the volumetric flow rate is required, we need to calculate the average velocity of the fluid first. The volumetric flow rate (Q) is given by the equation:
Q = A * v
Where:
Q = volumetric flow rate
A = cross-sectional area of the pipe
v = average velocity of the fluid
The cross-sectional area of the pipe can be calculated using the formula:
A = π * (d/2)^2
Substituting the given diameter value:
A = π * (0.25/2)^2
A = π * 0.0625
Substituting the values in the equation:
Since we know the voltage generated (V) and the magnetic flux density (B), we can rearrange the equation to solve for the average velocity (v):
v = V / (B * d)
Substituting the given values:
v = 1 / (100 * 0.25)
Calculating the volumetric flow rate:
Now that we have the average velocity, we can substitute it back into the equation for the volumetric flow rate:
Q = A * v
Q = π * 0.0625 * (1 / (100 * 0.25))
Simplifying the equation:
Q = π * 0.0625 * (1 / 25)
Q = (π * 0.0625) / 25
Q ≈ 0.0019635 m^3/s
Conclusion:
The volumetric flow rate of the fluid passing through the flow meter is approximately 0.0019635 m^3/s. Rounded to the nearest decimal place, the answer falls between 1.9 and 2, as mentioned in the question.
- Magnetic flux density (B) = 100 mWb/m^2
- Diameter of the pipe (d) = 0.25 m
- Voltage generated (V) = 1 V
Formula:
The voltage generated in an electromagnetic flow meter is given by the equation:
V = B * d * v
Where:
V = voltage generated
B = magnetic flux density
d = diameter of the pipe
v = average velocity of the fluid
Calculating the average velocity:
Since the volumetric flow rate is required, we need to calculate the average velocity of the fluid first. The volumetric flow rate (Q) is given by the equation:
Q = A * v
Where:
Q = volumetric flow rate
A = cross-sectional area of the pipe
v = average velocity of the fluid
The cross-sectional area of the pipe can be calculated using the formula:
A = π * (d/2)^2
Substituting the given diameter value:
A = π * (0.25/2)^2
A = π * 0.0625
Substituting the values in the equation:
Since we know the voltage generated (V) and the magnetic flux density (B), we can rearrange the equation to solve for the average velocity (v):
v = V / (B * d)
Substituting the given values:
v = 1 / (100 * 0.25)
Calculating the volumetric flow rate:
Now that we have the average velocity, we can substitute it back into the equation for the volumetric flow rate:
Q = A * v
Q = π * 0.0625 * (1 / (100 * 0.25))
Simplifying the equation:
Q = π * 0.0625 * (1 / 25)
Q = (π * 0.0625) / 25
Q ≈ 0.0019635 m^3/s
Conclusion:
The volumetric flow rate of the fluid passing through the flow meter is approximately 0.0019635 m^3/s. Rounded to the nearest decimal place, the answer falls between 1.9 and 2, as mentioned in the question.
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The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.Correct answer is between '1.9,2'. Can you explain this answer?
Question Description
The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.Correct answer is between '1.9,2'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.Correct answer is between '1.9,2'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.Correct answer is between '1.9,2'. Can you explain this answer?.
The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.Correct answer is between '1.9,2'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.Correct answer is between '1.9,2'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.Correct answer is between '1.9,2'. Can you explain this answer?.
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