- Scalar and Vector Fields
- Gradient, Del and Curl Operators
- Gauss-Divergence Theorem and its Physical Interpretation
- Stokes’ Theorem
- Differential Form of Gauss’s Law
- Differential form of Faraday’s Law
- Differential Form of Ampere’s Law
- Continuity Equation
- Maxwell’s Equations
- Electromagnetic Wave Equations
Electronic Properties of Solids
Scalar and Vector Fields
Types of Field
In this video lecture type of the fields are discussed. These are of two types scalar field and vector field. The nature of the field depends upon the physical quantity. If the quantity is scalar field will be scalar field if the quantity is vector field will be vector field.
For an example potential is a scalar quantity, so potential field will be scalar. How to understand this concept. As you know that in electrodynamics charge is the source, either that is positive or negative. When you bring another point charge in the field of first one, it feel a force or potential around the source charge.
So a region where the physical quantity is characterized by its magnitude only in terms of the spatial coordinates is known as a scalar field. The potential V(x,y,z) at every point in the region will create a field and its magnitude will be different at different points. But it will be maximum near to the source.
Similarly you can say about the temperature T(x,y,z). In a room the temperature is not uniform so the region where you measured the temperature, those points develop the concept of field. This is scalar because we are just considering about the magnitude only not direction.
Now, about the vector field in electrodynamics. See, again there is a source charge and you bring another charge that experienced the force, the magnitude of the force varies with distance with respect to the source. So vector field is that region in which the vector quantity is characterized by the magnitude and direction at every point in it.The electric field E(x,y,z) and Magnetic field B (x,y,z)both are vector fields. You can find the value of E and B and can tell about the direction.
Comments are closed.