The electric potential at a point (x,y,z...

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

`vecE=hati2xy+hatj(x^2+y^2)+hatk(3xz-y^2)`

`vecE=hatiz^3+hatjxyz+kz^2`

`vecE=hati(2xy-z^3)+hatjxu^2+hatk 3z^2x`

`vecE=hati(2xy+z^3)+hat jx^2+hatk 3xz^2`

Text Solution

Verified by Experts

Topper's Solved these Questions

ELECTRONIC DEVICES
SARAS PUBLICATION|Exercise EXAMPLE|31 Videos
MAGNETIC EFFECTS OF CURRENT AND MAGNETISM
SARAS PUBLICATION|Exercise EXAMPLE|45 Videos

Similar Questions

Explore conceptually related problems

The intensity of electric field at a point is

The electric potential V at any point (x, y, z) in space is given by V =3x^2 where x, y, z are all in metre. The electric field at the point (1 m, 0,2 m) is

The electric potential at a point in free space due to a charge Q coulomb is Qxx10^11 volts. The electric field at the point is:

Electric field at a point is measured in terms of

The electric potential V as a function of distance x (meters) is given by V=(5x^(2)+10x-9) volt. The value of electric field at a point x=1m is

The electric potential in region is reprsented as V=2x+3y-z . Obtain an expression for electric field strength.

The electric field and the electric potential at a point are E and V respectively. Give the relationship between E and V

Assertion : If electric field is zero at a point then electric potential also be zero at that point. Reason : Electric field is equal to the negative gradient of potential . Which one of the following statements is correct ?

A point charge is brought in an electric field. The electric field at a near by point

Two large conducting plates X and Y. each having large surface area A (on one side), are placed parallel to each other as shown in figure (30-E7). The plate X is given a charge Q whereas the other is neutral. Find (a) the surface charge density at the inner surface of the plates X, (b) the electric field at a point to the left of the plates, (c) the electric field at a point in between the plates and (d) the electric field at a point to the right of the plates.

SARAS PUBLICATION-Electrostatics-EXAMPLE

The Figure shows a plot of photo current versus anode potential for a ...
Text Solution
|
Three capacitors each of capacitance C and of breakdown voltage V are ...
Text Solution
|
The electric potential at a point (x,y,z) is given by V=-x^2y-xz^3+4.T...
Text Solution
|
The electric field part of an electromagnetic wave in a medium is repr...
Text Solution
|
A square surface of side L metre in the plane of the paper is placed i...
Text Solution
|
A square current carrying loop is suspended in a uniform magnetic fie...
Text Solution
|
A charge Q is enclosed by a Gaussian spherical surface of doubled,the...
Text Solution
|
In the Davisson and Germer experiment, the velocity of electrons emitt...
Text Solution
|
Four point charges -Q,-q,2q and 2Q are placed , one at each corner of ...
Text Solution
|
Monochromatic radiation emitted when electron on hydrogen atom jumps f...
Text Solution
|
The electric field associated with an e.m wave in vaccum is given by v...
Text Solution
|
What is the flux through a cube of inside a if a point charge of q is ...
Text Solution
|
A, B and C are three points in a uniform electric field.The electric p...
Text Solution
|
Arbar magnet of length and magnetic dipole moment M is bent in the for...
Text Solution
|
A wire loop is rotated in a magnetic field. The frequency of change of...
Text Solution
|
An electric dipole of dipole moment p is aligned parallel to a uniform...
Text Solution
|
Two thin dielectric slabs of dielectric constants K1 and K2 (K1ltK2) a...
Text Solution
|
A parallel plate air capacitor of capacitance Cis connected to a cell ...
Text Solution
|
The electric field in certain region is acting radially outward and is...
Text Solution
|
If potential( in volts) in a region is expressed as V(x,y,z)=6xy-y+2yz...
Text Solution
|