Electric potential $V$, is a ____ field, and electric field intensity $E$, is a ______ field.
Scalar and vector
This section clarifies the nature of electric potential ($V$) and electric field intensity ($E$) as either scalar or vector quantities, relevant to understanding electric fields.
Electric potential ($V$) quantifies the potential energy per unit charge at any given point within an electric field. Key characteristics include:
Therefore, electric potential ($V$) defines a scalar field.
Electric field intensity ($E$) describes the force experienced per unit charge at a specific point in space. Its defining features are:
Consequently, electric field intensity ($E$) defines a vector field.
Matching the characteristics to the field types:
This leads to the description "Scalar and vector" for electric potential and electric field intensity, respectively.
Three point charges q are placed at the corners of an equilateral triangle. Another point charge −Q is placed at the centroid of the triangle. If the force on each of the charges q vanishes, then the ratio Q/q is
The components of the electric field, in a region of space devoid of any charge or current sources, are given to be E i= a i+ Σ j=1,2,3 bij xj , where a iand b ij are constants independent of the coordinates. The number of independent components of the matrix b ij , is
Whenever a conductor cuts magnetic flux, an e.m.f. is induced in that conductor. This phenomenon is according to
The value of electric field E at a point in Electric field of a point charge can be calculated using:
An inductor of 3.3mH with a series resistance of 12.5 ohms is connected to a 5V dc supply. When the supply is switched off, the circuit current decay to zero in 60 microseconds. What is the value of back e.m.f. generated?