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Look in the room that you are in. Its temperature varies at every point in the room. IN addition, notice that the air moves at different rates at each part of the room and therefore in different directions. The temperature is different at every point but it has no direction. It just has one value at each point in the room - temperature. On the other hand, the air is moving at different rates (velocity) around the room. Therefore it has a magnitude concerning the velocity. Unlike the temperature however, the air is also moving in a certain direction at each point. Therefore, at each point in space, the temperature is different and has only one value of magnitude so it is a scalar field. The air would be known as a vector field because in addition to its magnitude, its velocity, it has direction because it is moving.
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What is the difference between magnetic vector potential and magnetic scalar potential?
A vector is a quantity with both magnitude (strength) and direction. Like a force having a strength in pounds and a direction. Or a wind having magnitude (in mph) and direction (Northeast). A scalar has only magnitude. Like the length of a segment or amount of peanuts in a jar. Scalars are just numbers.
Why gradient of scalar field is vector?
The Law of Numbers?There are two kinds of numbers scalars and vectors. The law of multiplication of Numbers says, the product of a scalar and a vector is a vector.In 4D derivative is X = [d/dr, GRAD] = [d/dr, Id/dx + Jd/dy + kd/dz]GRAD is a vector.The 4D derivative of a number [b,B], where b is the scalar and B is the vector, is;X[b, B] = [d/dr, GRAD] [b.B] = [db/dr - GRAD.B, dB/dr + GRAD b + GRADxB]The general rules of numbers are:1.Scalar by scalar products are scalars e.g. db/dr2. Scalar by vectors and vector by scalars are vectors, e,g, dB/dr and GRAD b3. Vector Dot (.) Products are scalars ,e.g. GRAD.B4. Vector Cross (x) Products are vectors, e.g. GRADxB.
Is gravity field vector or scalar?
Gravitational field is a vector quantity, as it has both magnitude (strength) and direction. It represents the force experienced by a mass placed in the field due to the presence of another mass.
What equation connects both scalar potential and vector potential?
The equation that connects the scalar potential (V) and the vector potential (A) is given by: E = -∇V - ∂A/∂t, where E is the electric field, ∇ is the gradient operator, and ∂t represents the partial derivative with respect to time.
Electrostatic potential is a Scalar Quantity or Vector Quantity?
Electrostatic potential is a scalar quantity. It represents the potential energy per unit charge at a given point in an electric field.
Is magnetic field line scalar or vector quantity?
Vector.
What is the difference between magnetic vector potential and magnetic scalar potential?
A vector is a quantity with both magnitude (strength) and direction. Like a force having a strength in pounds and a direction. Or a wind having magnitude (in mph) and direction (Northeast). A scalar has only magnitude. Like the length of a segment or amount of peanuts in a jar. Scalars are just numbers.
What are the two kinds of fields that make up an Electromagnetic?
Scalar field and vector field.
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.
Is magnetic field a scalar or density quantity?
A magnetic field is neither: it is a vector field with both direction and quantity.
What are the vector and scalar fields?
In mathematics, a field is a set with certain operators (such as addition and multiplication) defined on it and where the members of the set have certain properties. In a vector field, each member of this set has a value AND a direction associated with it. In a scalar field, there is only vaue but no direction.
Is magnetic field strength a vector quantity?
When one refers to the strength of a magnetic field, they're usually referring to the scalar magnitude of the magnetic field vector, so no.
Why gradient of scalar field is vector?
The Law of Numbers?There are two kinds of numbers scalars and vectors. The law of multiplication of Numbers says, the product of a scalar and a vector is a vector.In 4D derivative is X = [d/dr, GRAD] = [d/dr, Id/dx + Jd/dy + kd/dz]GRAD is a vector.The 4D derivative of a number [b,B], where b is the scalar and B is the vector, is;X[b, B] = [d/dr, GRAD] [b.B] = [db/dr - GRAD.B, dB/dr + GRAD b + GRADxB]The general rules of numbers are:1.Scalar by scalar products are scalars e.g. db/dr2. Scalar by vectors and vector by scalars are vectors, e,g, dB/dr and GRAD b3. Vector Dot (.) Products are scalars ,e.g. GRAD.B4. Vector Cross (x) Products are vectors, e.g. GRADxB.
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
Is electric field strength scalar or vector?
The strength of the electric field is a scalar quantity. But it's the magnitude of thecomplete electric field vector.At any point in space, the electric field vector is the strength of the force, and thedirection in which it points, that would be felt by a tiny positive charge located there.
Are the magnetic field vector- or scalar fields?
Both, E=Es + Ev = cB therefore, B= Es/c + Ev/c = Bs + Bv. The electric and magnetic fields are quaternion fields consisting of a scalar field and a vector field. Contemporary Physics has not realized this yet. Correct Relativity Theory is a manifestation of quaternion fields, consisting of a scalar field and three vector fields. This shows up in the Energy Momentum four vector, E= Es +cmV. Actually the Lorentz Force is both scalar and vector: F=qvB = - qv.B + qvxB it makes no sense consider only qvxB and to ignore qv.B.
Is gravity field vector or scalar?
Gravitational field is a vector quantity, as it has both magnitude (strength) and direction. It represents the force experienced by a mass placed in the field due to the presence of another mass.
