Electric potential isa)scalar and dimensionlessb)vector and dimensionl...
He electric potential due to a system of point charges is equal to the sum of the point charges' individual potentials. This fact simplifies calculations significantly, since addition of potential (scalar) fields is much easier than addition of the electric (vector) fields.
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Electric potential isa)scalar and dimensionlessb)vector and dimensionl...
Electric potential is a scalar with dimension.
Electric Potential:
Electric potential is a fundamental concept in physics that describes the amount of electric potential energy per unit charge at a particular point in an electric field. It represents the work done per unit charge in bringing a positive test charge from infinity to that point.
Scalar Quantity:
A scalar quantity is a physical quantity that has magnitude but no direction. It can be completely described by its magnitude or numerical value alone. Examples of scalar quantities include temperature, mass, time, and electric potential.
Dimension:
Dimension refers to the physical nature or property of a quantity. It represents the type of measurement that is associated with a particular quantity. For example, length has the dimension of [L], mass has the dimension of [M], and time has the dimension of [T].
Explanation:
- Electric potential is a scalar quantity because it only has magnitude and does not possess any direction. It represents the amount of electric potential energy per unit charge at a specific point in an electric field.
- Scalar quantities can be represented by a single numerical value and do not require any additional information about direction.
- Electric potential is also a physical quantity and therefore has a dimension. In the International System of Units (SI), the dimension of electric potential is given as [M][L]^2[T]^-3[I]^-1, where [M] represents mass, [L] represents length, [T] represents time, and [I] represents electric current.
- The dimension of electric potential indicates the type of measurement associated with it and allows for consistent calculations and comparisons with other physical quantities.
- It is important to note that electric potential is different from electric potential difference, which is a vector quantity. Electric potential difference, also known as voltage, represents the potential energy difference between two points in an electric field and has both magnitude and direction.
- In summary, electric potential is a scalar quantity with a dimension, while electric potential difference is a vector quantity with a dimension.
Electric potential isa)scalar and dimensionlessb)vector and dimensionl...
Electric potential is a scalar quantity (a quantity described with dimension ).
[V] = [M][L]^2[T]^-3[I]^-1