What is the dimension of electric resistance?
Daniel Martin
Updated on March 05, 2026
Electric resistance has the dimension length squared mass per time cubed electric current squared. The SI derived unit of electric resistance is the ohm, which is defined as a volt per ampere.
Also to know is, what is the dimensional formula of electric resistance?
Electric Resistance
| Characteristic | Notes | |
|---|---|---|
| Metric (SI) Dimensions | length2 × mass × time-3 × electric-current-2 | These are the dimensions of the "electric resistance" quantity in SI units. There are other unit systems used in electromagnetics that may assign different dimensions. |
Also, how do you find the dimension of resistance? Therefore, resistance is dimensionally represented as M L2 T-3 I-2.
Hereof, what are the dimensions of electrical resistance and resistivity?
The electrical resistivity is the electrical resistance per unit length and per unit of cross-sectional area at a specified temperature. The SI unit of electrical resistivity is the ohm⋅metre (Ω⋅m). It is commonly represented by the Greek letter ρ, rho.
What is the dimension of electric?
Or, E = [M1 L1 T-2] × [I1 T1]-1 = [M1 L1 T-3 I-1]. Therefore, the Electric Field is dimensionally represented as [M1 L1 I-1 T-3].
Related Question Answers
What is dimensional formula?
Dimensional formula is an expression for the unit of a physical quantity in terms of the fundamental quantities. The fundamental quantities are mass (M), length (L), and time (T). A dimensional formula is expressed in terms of powers of M,L and T.What is the SI unit of the resistance?
ohmWhat is the dimensional formula of frequency?
Therefore, frequency is dimensionally represented as [M0 L0 T1].What is a specific resistance?
Specific resistance is defined as the resistance offered per unit length and unit cross-sectional area when a known amount of voltage is applied.What is the dimension of impedance?
Therefore, impedance is dimensionally represented as M1 L2 I-2 T-3.What is the dimensional formula of electric charge?
Therefore, the electric charge is dimensionally represented as [M0 L0 T1 I1].What is the dimensional formula of potential?
Therefore, Potential Energy is dimensionally represented as [M1 L2 T-2].What is the dimension of specific resistance?
The metric unit for specific resistance is the ohm-meter (Ω-m), or ohm-centimeter (Ω-cm), with 1.66243 x 10-9 Ω-meters per Ω-cmil/ft (1.66243 x 10-7 Ω-cm per Ω-cmil/ft).Specific Resistance at 20 Degrees Celsius.
| Material | Nichrome V |
|---|---|
| Element/Alloy | Alloy |
| (ohm-cmil/ft) | 650 |
| (microohm-cm) | 108.1 |
How is current density related to electric field?
Electric fields cause charges to move. For an amazingly wide range of materials, an empirical rule called Ohm's law gives the following relation between current density and applied electric field: J = σ E . In other words, the current density is directly proportional to the electric field.What are the dimensions of magnetic field?
Therefore, Magnetic Field is dimensionally represented as [M1 T-2 I-1].What is the dimension of current?
explanation : electric current is one among all seven fundamental quantities. and it has own unit. i.e., Ampere. so, dimensional formula of electric current is [A].What is the dimension of potential difference?
The potential difference is the work done per unit charge. The dimensional formula for potential difference is dimension of work/dimension of charge =dimensions of mass times acceleration times distance/ dimension for charge =M^1L^1T^-2L^1 / A^1T^1 = M^1 L^2 T^-3A^-1 HENCE OPTION "C" IS CORRECT.What is the dimension of work function?
Dimension = M1 L2 T-2.What are the limitations of dimensional analysis?
Limitations of Dimensional Analysis- If dimensions are given, physical quantity may not be unique as many physical quantities have same dimensions.
- Numerical constant having no dimension (K) such as (1/2), 1 or 2π etc.
- The method of dimension can't be used to derive relations other than product of power functions.
What are the dimensions of angular momentum?
| Angular momentum | |
|---|---|
| In SI base units | kg m2 s−1 |
| Conserved? | yes |
| Derivations from other quantities | L = Iω = r × p |
| Dimension | M L2T−1 |
What is the dimension of charge?
Electric charge has the dimension electric current time. The SI derived unit of electric charge is the coulomb, which is defined as an ampere second.What does dimensional analysis mean?
Factor-Label MethodWhat is the formula of electric current?
The relationship between current and resistance in an electric circuit. Current is usually denoted by the symbol I. Ohm's law relates the current flowing through a conductor to the voltage V and resistance R; that is, V = IR. An alternative statement of Ohm's law is I = V/R.What is the formula of electric field?
Formula and Derivation of Electric FieldE = - Δ v d frac{Delta v}{d} dΔv is derived from the definition of the electric potential difference Δ V Delta V ΔV.
What is the dimension of electric dipole moment?
Electric Dipole Moment| Characteristic | Notes | |
|---|---|---|
| Standard Uncertainty | ± 1.9×10-37 coulomb meters | |
| Metric (SI) Dimensions | length × time × electric-current | These are the dimensions of the "electric dipole moment" quantity in SI units. There are other unit systems used in electromagnetics that may assign different dimensions. |
What are the dimensions of pressure?
Units and dimensions| Quantity | Dimension | Unit |
|---|---|---|
| acceleration | [L T-2] | meter per second squared |
| density | [M L-3] | kilogram per cubic meter |
| force | [M L T-2] | newton |
| pressure | [M L-1 T-2] | pascal |
