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solenoidal वाक्य

"solenoidal" हिंदी मेंsolenoidal in a sentence
उदाहरण वाक्यमोबाइल
  • In electromagnetism the "'B "'lines form solenoidal rings around the source electric current, whereas in aerodynamics, the air currents form solenoidal rings around the source vortex axis.
  • If a vector quantity \ mathbf { a } ( such as a magnetic field ) is being advected by the solenoidal velocity field \ mathbf { u }, the advection equation above becomes:
  • By calculating the mean square field acting throughout a section of coil, formulae are obtained for the effective resistances of single-and multi-layer solenoidal coils of either solid or stranded wire.
  • For the special case of an incompressible flow, the pressure constrains the flow so that the volume of fluid elements is constant : isochoric flow resulting in a solenoidal velocity field with 0 . }}
  • Thinking of a vector field as a 2-form instead, a closed vector field is one whose derivative ( divergence ) vanishes, and is called an incompressible flow ( sometimes solenoidal vector field ).
  • In eukaryotes, DNA supercoiling exists on many levels of both plectonemic and solenoidal supercoils, with the solenoidal supercoiling proving most effective in compacting the DNA . Solenoidal supercoiling is achieved with histones to form a 10 nm fiber.
  • In eukaryotes, DNA supercoiling exists on many levels of both plectonemic and solenoidal supercoils, with the solenoidal supercoiling proving most effective in compacting the DNA . Solenoidal supercoiling is achieved with histones to form a 10 nm fiber.
  • In eukaryotes, DNA supercoiling exists on many levels of both plectonemic and solenoidal supercoils, with the solenoidal supercoiling proving most effective in compacting the DNA . Solenoidal supercoiling is achieved with histones to form a 10 nm fiber.
  • In light of the physical interpretation, a vector field with zero divergence everywhere is called " incompressible " or " solenoidal "  in this case, no net flow can occur across any closed surface.
  • One important property of the-field produced this way is that magnetic-field lines neither start nor end ( mathematically, is a solenoidal vector field ); a field line either extends to infinity or wraps around to form a closed curve.
  • This is mathematically equivalent to saying that the divergence of is zero . ( Such vector fields are called solenoidal vector fields . ) This property is called Gauss's law for magnetism and is equivalent to the statement that there are no isolated magnetic poles or magnetic monopoles.
  • The second equation is the incompressible constraint, stating the flow velocity is a solenoidal field ( the order of the equations is not casual, but underlines the fact that the incompressible constraint is not a degenerate form of the continuity equation, but rather of the energy equation, as it will become clear in the following ).
  • When it came to deriving the electromagnetic wave equation from displacement current in his 1865 paper A Dynamical Theory of the Electromagnetic Field, he got around the problem of the non-zero divergence associated with Gauss's law and dielectric displacement by eliminating the Gauss term and deriving the wave equation exclusively for the solenoidal magnetic field vector.
  • Because an irrotational vector field has a scalar potential and a solenoidal vector field has a vector potential, the Helmholtz decomposition states that a vector field ( satisfying appropriate smoothness and decay conditions ) can be decomposed as the sum of the form-\ operatorname { grad } \ Phi + \ operatorname { curl } \ mathbf { A } where is a scalar field, called scalar potential, and is a vector field called a vector potential.
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