Question

The electric potential at point (x, y, z) Is given by V=-x²y-xz³+4. What is the magnitude of electric field at (1,1,1)?

Answer 1

`abs (bbE(1,1,1)) = sqrt(19)`

Units uncertain

Explanation:

`V(bbx)=-x²y-xz³+4`

`bbE(bbx) = - bbnabla V =( 2xy + z^3, x^2, 3x z^2 )^T`

`bbE(1,1,1) = (3, 1,3)^T`

`abs (bbE(1,1,1)) = sqrt(3^2 + 1^2 + 3^ 2) = sqrt(19)`

Units uncertain