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Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?
- a)2xy
- b)x2 + y2
- c)x2 - y2
- d)2x2y2
Correct answer is option 'A'. Can you explain this answer?
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Potential function φ is given as φ = x2 - y2. What will be the...
A potential function, also known as a scalar potential or simply a potential, is a function that describes the energy of a system in terms of its configuration. It is commonly used in physics to analyze conservative force fields, such as gravitational or electrostatic fields.
In the context of classical mechanics, a potential function is defined as a scalar function of the position coordinates of a particle or a system of particles. The gradient of the potential function gives the force acting on the particle(s) at any given point in space. This allows for a convenient mathematical representation of the force field, simplifying calculations and analysis.
In electromagnetism, the electrostatic potential is a potential function that describes the electric field in terms of the distribution of charges in space. Similarly, the gravitational potential is a potential function that describes the gravitational field in terms of the mass distribution in space.
Potential functions have many applications in various fields of science and engineering, such as in fluid dynamics, quantum mechanics, and thermodynamics. They provide a powerful tool for analyzing and understanding the behavior of physical systems in terms of their energy.
In the context of classical mechanics, a potential function is defined as a scalar function of the position coordinates of a particle or a system of particles. The gradient of the potential function gives the force acting on the particle(s) at any given point in space. This allows for a convenient mathematical representation of the force field, simplifying calculations and analysis.
In electromagnetism, the electrostatic potential is a potential function that describes the electric field in terms of the distribution of charges in space. Similarly, the gravitational potential is a potential function that describes the gravitational field in terms of the mass distribution in space.
Potential functions have many applications in various fields of science and engineering, such as in fluid dynamics, quantum mechanics, and thermodynamics. They provide a powerful tool for analyzing and understanding the behavior of physical systems in terms of their energy.
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Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?a)2xyb)x2 + y2c)x2 - y2d)2x2y2Correct answer is option 'A'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?a)2xyb)x2 + y2c)x2 - y2d)2x2y2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?a)2xyb)x2 + y2c)x2 - y2d)2x2y2Correct answer is option 'A'. Can you explain this answer?.
Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?a)2xyb)x2 + y2c)x2 - y2d)2x2y2Correct answer is option 'A'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?a)2xyb)x2 + y2c)x2 - y2d)2x2y2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?a)2xyb)x2 + y2c)x2 - y2d)2x2y2Correct answer is option 'A'. Can you explain this answer?.
Solutions for Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?a)2xyb)x2 + y2c)x2 - y2d)2x2y2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
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