English

State the formula giving the relation between electric field intensity and potential gradient.

Advertisements
Advertisements

Question

State the formula giving the relation between electric field intensity and potential gradient.

One Line Answer
Advertisements

Solution

E = `-(d"v")/(dx)`

shaalaa.com
  Is there an error in this question or solution?
2022-2023 (March) Official

RELATED QUESTIONS

A charge 6 µC is placed at the origin and another charge - 5 µC is placed on the y-axis at A = (0, 6.0 m). 


(a) Calculate the net electric potential at P = (8.0 m, 0).
(b) Calculate the work done in bringing a proton from infinity to point P. What is the significance of the negative sign?


One hundred and twenty five small liquid drops, each carrying a charge of 0.5 µC and of diameter 0.1 m form a bigger drop. Calculate the potential at the surface of the bigger drop.


If an electron is brought towards another electron, the electric potential energy of the system ______.


Which physical quantity has its unit as J/C? Is it a scalar or vector?


Three-point charges +q, +2q and Q are placed at the three vertices of an equilateral triangle. Find the value of charge Q (in terms of q), so that the electric potential energy of the system is zero. 


Obtain an expression for the potential energy of a dipole in an external field.


Derive an expression for the electric potential due to an electric dipole.


An AC circuit contains resistance of 12Q and inductive reactance 5Q. The phase angle between current and potential difference will be ______.


The electric potential V at any point O (x, y, z all in metres) in space is given by V = 4x2 volt. The electric field at the point (1 m, 0, 2m) in volt/metre is ____________.


Two parallel plates separated by a distance 'd' are kept at potential difference 'V' volt. A charge 'q' of mass 'm' enters in parallel plates with some velocity. The acceleration of the charged particle will be ______ 


The potential differences that must be applied across the parallel and series combination of 3 identical capacitors are such that the energy stored in them becomes the same. The ratio of potential difference in parallel to series combination is ______


In the circuit shown, the potential difference across the 4.5 µF capacitor is ______.


A semicircular wire of radius a having λ as charge per unit length is shown in the figure. Find the electric potential at the centre of the semicircular wire. 


1 Weber/second is equal to ______.


Derive the relation between electric intensity and electric potential. 


Three point charges + Q + 2Q and q are placed at the vertices of an equilateral triangle. The value of charge q in terms of Q so that electrical potential energy of the system is zero, is given by ______.


A conducting sphere of radius 'R' is given a charge 'Q' uniformly. The electric field and the electric potential at the centre of the sphere are respectively [ε0 = permittivity of free space] ______.


A hollow charged metal sphere has a radius ‘r’. If the potential difference between its surface and a point at a distance ‘3r’ from the centre is ‘v’, then the electric field intensity at a distance ‘3r’ is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×