Advertisements
Advertisements
Question
If the potential in a region of the electric field is expressed as V(x, y, z) = 2xy + 3zx - yz, then the electric field at point (0, 1, 1) is ______.
Options
`-hati + 5hatj - 3hatk`
`hati - 5hatj + hatk`
`5hati + hatj + hatk`
`-5hati + hatj + hatk`
MCQ
Fill in the Blanks
Solution
If the potential in a region of the electric field is expressed as V(x, y, z) = 2xy + 3zx - yz, then the electric field at point (0, 1, 1) is `underlinebb(-5hati + hatj + hatk)`.
Explanation:
Given, V = 2xy + 3zx - yz
∴ Electric field, E = `-(dV)/(dx)hati - (dV)/(dy)hatj - (dV)/(dz)hatk`
= `(-2y - 3z)hati - (2x - z)hatj - (3x - y)hatk`
`E_{at(0, 1, 1)} = (-2 - 3)hati - (0 - 1)hatj - (0 - 1)hatk`
= `-5hati + hatj + hatk`
shaalaa.com
Electric Field
Is there an error in this question or solution?
