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Question

Electric potential $V$, is a ____ field, and electric field intensity $E$, is a ______ field.

The correct answer is

Scalar and vector

Classifying Electric Potential ($V$) and Field ($E$)

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 ($V$) Characteristics

Electric potential ($V$) quantifies the potential energy per unit charge at any given point within an electric field. Key characteristics include:

  • Nature: Scalar quantity.
  • Properties: Possesses magnitude only; no direction is associated with potential at a point.

Therefore, electric potential ($V$) defines a scalar field.

Electric Field Intensity ($E$) Characteristics

Electric field intensity ($E$) describes the force experienced per unit charge at a specific point in space. Its defining features are:

  • Nature: Vector quantity.
  • Properties: Possesses both magnitude (strength) and direction (the direction of force on a positive charge).

Consequently, electric field intensity ($E$) defines a vector field.

Conclusion on Field Types

Matching the characteristics to the field types:

  • Electric potential ($V$) is a scalar field.
  • Electric field intensity ($E$) is a vector field.

This leads to the description "Scalar and vector" for electric potential and electric field intensity, respectively.

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Important Questions from Electrostatics

  1. 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

  2. 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

  3. Whenever a conductor cuts magnetic flux, an e.m.f. is induced in that conductor. This phenomenon is according to

  4. The value of electric field E at a point in Electric field of a point charge can be calculated using:

  5. 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?

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