Calculate The Solid Angle Subtended By A Ring Element.
Let us consider a sphere of radius R and a ring element PQTS of thickness PQ on the surface of the shere. OA is normal through the centre of the…
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…
Calculate The Solid Angle Subtended At The Centre Of The Sphere By The Surface Of The Sphere.
Solid angle subtended at the centre of the sphere: Let us consider a sphere of radius r, Now we want to calculate the solid angle at the centre O of…
Show That Only One Type Of Area Element In The Spherical Polar Co-Ordinate System Subtends A Solid Angle At The Origin.
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…
Derive An Expression For The Solid Angle In The Spherical Polar Co-Ordinate System.
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…
Define And Explain Solid Angle, What Are Its Dimensions? What Are Its Units?
Solid Angle: The solid angle subtended by a surface at a point is measured by the ratio of the normal component of the area of the surface to the square…
Derive An Expression For Acceleration Of A Particle In Cylindrical Polar Co-Ordinate System.
Let us consider a point P in cylindrical co-ordinate system, having cylindrical co-ordinates . The cartesian co-ordinates of the point P is . Let's draw a vertical line PQ on…
Derive The Expression For Velocity In Cylindrical Polar Co-Ordinate System.
Let us consider a point P in cylindrical co-ordinate system, having cylindrical co-ordinates . The cartesian co-ordinates of the point P is . Let's draw a vertical line PQ on…
Express The Unit Vectors In Cylindrical Polar Co-Ordinate System In Terms Of The Unit Vectors In Spherical Polar Co-Ordinate System.
Let us consider a point P in cylindrical polar co-ordinate system, having cylindrical co-ordinates . The cartesian co-ordinates of the point P is . Let's draw a vertical line PQ…
Derive An Expression For The Volume Element In 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 on the surface of the sphere of radius…