Home
Class 12
PHYSICS
The electric potential V at any point x,...

The electric potential V at any point x, y, z (all in meters) in space is given by `V=4x^2` volts. The electric field at the point (1m, 0, 2m) is……………..`V//m`.

Text Solution

AI Generated Solution

To find the electric field at the point (1m, 0, 2m) given the electric potential \( V = 4x^2 \) volts, we will follow these steps: ### Step 1: Understand the relationship between electric potential and electric field The electric field \( \mathbf{E} \) is related to the electric potential \( V \) by the equation: \[ \mathbf{E} = -\nabla V \] where \( \nabla V \) is the gradient of the potential \( V \). ...
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise True and False Type|5 Videos
  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise Assertion-Reasoning Type|1 Videos
  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise Interger Answer type|20 Videos
  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct Answer type|2 Videos
  • MISCELLANEOUS VOLUME 5

    CENGAGE PHYSICS ENGLISH|Exercise Integer|12 Videos

Similar Questions

Explore conceptually related problems

The electric potential V at any point x,y,z (all in metre) in space is given by V=4x^2 volt. The electric field at the point (1m, 0, 2m) is …………… V/m .

The electric potential V at any point (x,y,z) , all in meters in space is given by V= 4x^(2) volt. The electric field at the point (1,0,2) in volt//meter is

The electrostatic potential V at any point (x, y, z) in space is given by V=4x^(2)

The electric potential at any point x,y and z in metres is given by V = 3x^(2) . The electric field at a point (2,0,1) is

Potential in the x-y plane is given as V=5(x^(2)+xy) volts. Find the electric field at the point (1, -2).

The electirc potential at a point (x, y, z) is given by V = -x^(2)y - xz^(3) + 4 The electric field vecE at that point is

The electirc potential at a point (x, y, z) is given by V = -x^(2)y - xz^(3) + 4 The electric field vecE at that point is

The electirc potential at a point (x, y, z) is given by V = -x^(2)y - xz^(3) + 4 The electric field vecE at that point is

The potentaial function of an electrostatic field is given by V = 2 x^2 . Determine the electric field strength at the point (2 m, 0, 3 m) .

The potential at any point is given by V = x(y^2 - 4 x^2) . Calculate the cartesian components of the electric field at the point.