Question

Enter the general expression for an infinitesimal area element dA in spherical coordinates (r, θ, φ) using n as your outward-pointing normal vector. In these coordinates θ is the polar angle (from the z-axis) and φ is the azimuthal angle (from the x-axis in the x-y plane).

Answer 1

Answer:

dA can be written as shown below:

r^ dA = r^ r2 sinθdθdφ

Explanation:

r^ dA = r^ r2 sinθdθdφ

where dA is an infinitesimal area element taken on the surface of a sphere of radius, r, centered at the origin and r^ is the radial component of the radius which given the value for n.