- #1
Maharshi Roy
- 25
- 1
Reference to Griffith electrodynamics question:- 1.16
Compute the divergence of an inverse square vector field.
Now gradient is (∂/∂r)(r cap)
Hence upon taking divergence of inverse square field (r cap)/r^2...We don't get 0.
In fact we get (-2)/r^3.
But if we write the vector field and the gradient both in terms of x, y & z components, and then compute gradient then it comes out to be 0.
Where is the glitch?
Compute the divergence of an inverse square vector field.
Now gradient is (∂/∂r)(r cap)
Hence upon taking divergence of inverse square field (r cap)/r^2...We don't get 0.
In fact we get (-2)/r^3.
But if we write the vector field and the gradient both in terms of x, y & z components, and then compute gradient then it comes out to be 0.
Where is the glitch?