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What is the physical significance of the gradient of a vector field?
Wiki User
∙ 11y ago
it used in our practical life.. for ex. in hills r in mountains
Wiki User
∙ 11y ago
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What is the physical significance of gradient of any physical quantity?
the gradient of a scalar function of any quantity is defined as a vector field having magnitude equal to the maximum space rate of change of the quantity and having a direction identical with the direction of displacement along which the rate of change is maximum.
Why curl of electrical field is zero?
Because Electric field can be expressed as the gradient of a scalar. Curl of a gradient is always zero by rules of vector calculus.
What is gradient of a vector field?
It is the rate of change in the vector for a unit change in the direction under consideration. It may be calculated as the derivative of the vector in the relevant direction.
What is the difference between gradient and vector notation?
In the name of God; It must be mentioned that a vector has two important characteristics; 1- direction and 2- quantity. in other word for identification a vector these two characteristics must be defined. for example when we speak about displacement of a body it must has direction and quantity. but about gradient, it has a general mean: difference. Also a specified mean may be defined for it: "any increase or decrease in a vector or scalar field". it is a vector field.
What is the physical interpretation of gradient of a scalar field and directional derivative and what are its applications?
say what
What is gradient ratio?
what do you mean by gradient of a scalar field? what do you mean by gradient of a scalar field?
What physical quantity use both magnitude and direction?
Any vector quantity does. Examples of vector quantities include but are not limited to . . . - Displacement - Velocity - Acceleration - Torque - Force - Electric field - Momentum - Poynting vector
What does an upside down triangle mean in maths notation?
The 'upside down' triangle symbol is the (greek?) letter Nabla. Nabla means the gradient. The gradient is the vector field whoose components are the partial derivatives of a function F given by (df/dx, df/dy).
What has the author Richmond Beckett McQuistan written?
Richmond Beckett McQuistan has written: 'Scalar and vector fields: a physical interpretation' -- subject(s): Scalar field theory, Vector analysis
What is the temperature gradient formula?
Gradient= Change in field value/Distance
What is the physical interpretation of gradient of a scalar field and directional derivative and its application?
If you think of it as a hill, then the gradient points toward the top of the hill. With the same analogy, directional derivatives would tell the slope of the ground in a direction.
What does the term 'gradient' mean?
In general, it means a smooth blending. For graphics and optics, it is a smooth transition between colors. In things like meteorology, vector calculus and fluid dynamics it is a graph of vectors showing concentrations (of one form or another) between areas. In geometry, it means slope.
