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The surface integral of which parameter is zero?
- a)E
- b)D
- c)B
- d)H
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The surface integral of which parameter is zero?a)Eb)Dc)Bd)HCorrect an...
Answer: c
Explanation: The divergence of the magnetic flux density is always zero. By Stokes theorem, the surface integral of B is same as the volume integral of the divergence of B. Thus the surface integral of B is also zero.
Explanation: The divergence of the magnetic flux density is always zero. By Stokes theorem, the surface integral of B is same as the volume integral of the divergence of B. Thus the surface integral of B is also zero.
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The surface integral of which parameter is zero?a)Eb)Dc)Bd)HCorrect an...
The surface integral of parameter 'B' is zero.
Surface Integral:
A surface integral represents the sum of a quantity over a given surface. It is calculated by integrating the given parameter over the surface.
Explanation of the answer:
The parameter 'B' represents the magnetic field. The surface integral of the magnetic field over a closed surface is always zero. This is known as Gauss's law for magnetism.
Gauss's Law for Magnetism:
Gauss's law for magnetism states that the total magnetic flux through a closed surface is equal to zero. Mathematically, it is represented as:
∮B·dA = 0
where ∮ denotes the surface integral, B is the magnetic field vector, and dA is the differential area vector.
Explanation of the options:
a) Option 'A': The surface integral of parameter 'E' (electric field) may or may not be zero. It depends on the presence of charges and the configuration of the electric field.
b) Option 'B': The surface integral of parameter 'D' (electric displacement) may or may not be zero. It depends on the presence of charges and the configuration of the electric field.
c) Option 'C': The surface integral of parameter 'B' (magnetic field) is always zero, according to Gauss's law for magnetism.
d) Option 'D': The surface integral of parameter 'H' (magnetic field intensity) may or may not be zero. It depends on the presence of magnetic charges and the configuration of the magnetic field.
Conclusion:
The surface integral of parameter 'B' (magnetic field) is always zero, according to Gauss's law for magnetism. Therefore, option 'C' is the correct answer.
Surface Integral:
A surface integral represents the sum of a quantity over a given surface. It is calculated by integrating the given parameter over the surface.
Explanation of the answer:
The parameter 'B' represents the magnetic field. The surface integral of the magnetic field over a closed surface is always zero. This is known as Gauss's law for magnetism.
Gauss's Law for Magnetism:
Gauss's law for magnetism states that the total magnetic flux through a closed surface is equal to zero. Mathematically, it is represented as:
∮B·dA = 0
where ∮ denotes the surface integral, B is the magnetic field vector, and dA is the differential area vector.
Explanation of the options:
a) Option 'A': The surface integral of parameter 'E' (electric field) may or may not be zero. It depends on the presence of charges and the configuration of the electric field.
b) Option 'B': The surface integral of parameter 'D' (electric displacement) may or may not be zero. It depends on the presence of charges and the configuration of the electric field.
c) Option 'C': The surface integral of parameter 'B' (magnetic field) is always zero, according to Gauss's law for magnetism.
d) Option 'D': The surface integral of parameter 'H' (magnetic field intensity) may or may not be zero. It depends on the presence of magnetic charges and the configuration of the magnetic field.
Conclusion:
The surface integral of parameter 'B' (magnetic field) is always zero, according to Gauss's law for magnetism. Therefore, option 'C' is the correct answer.
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The surface integral of which parameter is zero?a)Eb)Dc)Bd)HCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The surface integral of which parameter is zero?a)Eb)Dc)Bd)HCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The surface integral of which parameter is zero?a)Eb)Dc)Bd)HCorrect answer is option 'C'. Can you explain this answer?.
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