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Let  and  be a scalar function which satisfy Laplace eqn. Then the vector field  is _______.
  • a)
    Neither solenoidal nor irrotational
  • b)
    solenoidal but not ii rotational
  • c)
    Both solenoidal and inotational
  • d)
    iri otational but not solenoidal
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Letandbe ascalar function which satisfy Laplace eqn. Then the vector f...
If we take,
F. dr = 2xyz (cosx2 + 1)dx + z (sinx2 + x2) dy + y (sinx2 + x2)dz = 2xyz cosx2 dx + z sinx2 dy + y sinx2 dz + 2xyz dx + x2 z dy + x2y dz = d(yz sinx2) + d(x2yz)
and φ is the soln of Laplace eqn
 not a solenoidal vector field.
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Most Upvoted Answer
Letandbe ascalar function which satisfy Laplace eqn. Then the vector f...
If we take,
F. dr = 2xyz (cosx2 + 1)dx + z (sinx2 + x2) dy + y (sinx2 + x2)dz = 2xyz cosx2 dx + z sinx2 dy + y sinx2 dz + 2xyz dx + x2 z dy + x2y dz = d(yz sinx2) + d(x2yz)
and φ is the soln of Laplace eqn
 not a solenoidal vector field.
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Letandbe ascalar function which satisfy Laplace eqn. Then the vector fieldis _______.a)Neither solenoidal nor irrotationalb)solenoidal but not ii rotationalc)Both solenoidal and inotationald)iri otational but not solenoidalCorrect answer is option 'D'. Can you explain this answer?
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Letandbe ascalar function which satisfy Laplace eqn. Then the vector fieldis _______.a)Neither solenoidal nor irrotationalb)solenoidal but not ii rotationalc)Both solenoidal and inotationald)iri otational but not solenoidalCorrect answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Letandbe ascalar function which satisfy Laplace eqn. Then the vector fieldis _______.a)Neither solenoidal nor irrotationalb)solenoidal but not ii rotationalc)Both solenoidal and inotationald)iri otational but not solenoidalCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Letandbe ascalar function which satisfy Laplace eqn. Then the vector fieldis _______.a)Neither solenoidal nor irrotationalb)solenoidal but not ii rotationalc)Both solenoidal and inotationald)iri otational but not solenoidalCorrect answer is option 'D'. Can you explain this answer?.
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