Home
Class 12
PHYSICS
If V=x^(2)y+y^(2)z then find vec(E) at (...

If `V=x^(2)y+y^(2)z` then find `vec(E)` at (x, y, z)

Text Solution

Verified by Experts

Given `V = (x^(2)y + y^(2)z)` and `vec(E) = -(del v)/(del r)`
`vec(E) = -[(del V)/(del x)hat(i) + (del V)/(del y) hat(j) + (del V)/(del z)hat(k)]`
`rArr vec(E) = -[2xy hat(i) + (x^(2) + 2yz)hat(j) + y^(2)hat(k)]`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    MOTION|Exercise SELF PRACTICE PROBLEM|27 Videos
  • ELECTROSTATICS

    MOTION|Exercise Exercise -1 (Objective Problems | NEET)|105 Videos
  • ELECTROSTATICS

    MOTION|Exercise Exercise -3 Section (B) Previous Year Problems | JEE Main|30 Videos
  • ELECTRONICS - SEMI CONDUCTOR

    MOTION|Exercise EXERCISE - 3|29 Videos
  • ELECTROSTATICS - I

    MOTION|Exercise EXERCISE - 4 (Level -II) PREVIOUS YEAR - JEE ADVANCED|13 Videos

Similar Questions

Explore conceptually related problems

V=x^(2)+y . Find vec(E) .

If vec(E)=2y hat(i)+2x hat(j) , then find V (x, y, z)

if x^(2) + y^(2) = z^(2) then prove that log_(y)(z+x) + log_(y) (z-x)=2

If vec(E)=2x^(2) hat(i)-3y^(2) hat(j) , then V (x, y, z)

Let relation R defined on Z as follows R={(x,y),x in Z,y in Z,x^(2)=y^(2)), then find domain of R.

If (x+y-z)^(2) +(y+z-x)^(2) +(z+x-y)^(2)=0 then what is the value of x+y+z ?