Presentation on Engineering Mathematics

Serajush SalekinID:141-15-3209

Sec- D

Topic

• Divergence of Vector function

Divergence of vector function

• If φ=φi+φj+φk is continuious and differentiable vector valued function in a real field then the divergence of φ is denoted by div. φ and difined as • φ =(i+j+k)(φ i+ φ j+ φ k) =

Problem

• If φ=i+j+k then find divergence at the point (1,0,1)

SolutionGiven that, φ=i+j+k

Now, div. φ = φ

=(i+j+k) (i+j+k) =i+j+k

=2x+2y+2z=2.1+0+2.1=4

(Point: x=1,y=0,z=1)

Result

div. φ =4