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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. The dielectric constant of a vacuum is _____.

  2. What is the magnitude of the electric field at a distance $r$ from a point charge $Q$?
  3. According to Gauss’s Law, the surface integral of the normal component of electric flux density D over a closed surface containing charge Q is:

  4. The electric potential at the surface of an atomic nucleus (z = 50) of radius 9 × 10-15 m is ______________.

  5. What is the relative permittivity of slate dielectric?

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