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Gauss law for electric field uses surface integral. State True/False
Coulomb’s law can be derived from Gauss law. State True/ False
Evaluate Gauss law for D = 5r^{2}/4 i in spherical coordinates with r = 4m and θ = π/2.
Compute the Gauss law for D= 10ρ^{3}/4 i, in cylindrical coordinates with ρ= 4m, z=0 and z=5.
Compute divergence theorem for D= 5r^{2}/4 i in spherical coordinates between r=1 and r=2.
Find the value of divergence theorem for A = xy^{2} i + y^{3} j + y^{2}z k for a cuboid given by 0<x<1, 0<y<1 and 0<z<1.
The ultimate result of the divergence theorem evaluates which one of the following?
Find the value of divergence theorem for the field D = 2xy i + x^{2} j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3.
If D = 2xy i + 3yz j + 4xz k, how much flux passes through x = 3 plane for which 1<y<2 and 0<z<4?
11 videos45 docs73 tests

Scalar Field & Its Gradient Doc  7 pages 
Test: Volume Integral Test  10 ques 
Test: Gradient Test  10 ques 
Test: Divergence Test  10 ques 
Test: Curl Test  10 ques 
11 videos45 docs73 tests

Scalar Field & Its Gradient Doc  7 pages 
Test: Volume Integral Test  10 ques 
Test: Gradient Test  10 ques 
Test: Divergence Test  10 ques 
Test: Curl Test  10 ques 