Determine The Surface Area Of A Sphere Of Radius ‘r’ By Using The Spherical Polar Co-Ordinate System.
Surface area of a sphere: Let us consider a sphere of radius r with centre at O. Let, PQRS be an elementary surface of area on the surface of the…
Surface area of a sphere: Let us consider a sphere of radius r with centre at O. Let, PQRS be an elementary surface of area on the surface of the…
In spherical polar co-ordinate system, there are three surface elements and . [To know about the three types of area elements and their values (CLICK HERE)] Now in case of…
Solid angle in the spherical polar co-ordinate system: In spherical polar co-ordinate system, there are three area elements and , out of which only the area element subtends a solid…
Let us consider a very small volume element PQRSS’P’Q’R as shown in Fig.1. The lower surface PQRS of this volume element lies on the surface of the sphere of radius…
Let us consider a very small volume element PQRSS’P’Q’R as shown in Fig.1. The lower surface PQRS of this volume element lies on the surface of the sphere of radius…
Line element in the spherical polar co-ordinate system: Let us consider a very small volume element PQRSS’P’Q’R as shown in Fig.1. The lower surface PQRS of this volume element lies…
The expression for the velocity of a particle in the spherical polar co-ordinate system is, where, , & are the unit vectors in the spherical polar co-ordinate system. [ To…
Let us consider a point A in a three-dimensional Cartesian co-ordinate system, the position of this point can be described by a specific single vector. This vector is the displacement…
Displacement in spherical polar co-ordinate system: Let us consider a point A in a three-dimensional cartesian co-ordinate system, the position of this point can be described by a specific single…
Unit vectors in spherical polar co-ordinate system are mutually perpendicular to each other: Two unit vectors are said to be orthogonal to each other when the angles between these two…