What is a dimension of K?
Hence, the dimensional formula of $k$ (Coulomb’s Constant) is: $\left[ {{M^1}{L^3}{T^{ – 4}}{I^{ – 2}}} \right]$ As we can see, this matches with the dimensional formula given in the option (C). Hence, option (C) is the correct answer to the question.
What is the dimensional formula for k in Coulomb’s law?
if you understand electromagnetic charge to be this totally different concept of physical quantity than length, time, and mass, then the Coulomb Force Constant has to have dimension (mass x length^3 / (time^2 x charge^2)).
What is dimension of Coulomb’s law?
Coulomb is the SI unit of electric charge. Therefore, Coulomb is dimensionally represented as [M0 L0 T1 I1]. …
What is the dimension of force constant k?
= [M1 L1 T-2] × [M0 L1 T0]-1 = [M1 L0 T-2]. Therefore, the force constant is dimensionally represented as [M1 L0 T-2].
What is the dimension of spring constant k?
M1L2T−1.
What is K electrostatics?
The Coulomb constant, the electric force constant or the electrostatic constant which is denoted by k or K is a proportionality constant in electrostatics equations. The value of K in SI units is equal to 8.98755 × 109 kg.
What is the dimension for area?
Therefore, area is dimensionally represented as [M0 L2 T0].
What is the dimension of momentum?
| Momentum | |
|---|---|
| SI unit | kg⋅m/s |
| Other units | slug⋅ft/s |
| Conserved? | Yes |
| Dimension | MLT−1 |
What are the dimensions of K constant?
The Coulomb constant, the electric force constant, or the electrostatic constant (denoted ke, k or K) is a proportionality constant in electrostatics equations. In SI units it is equal to 8.9875517923(14)×109 kg⋅m3⋅s−2⋅C−2….Coulomb constant.
| Value of k | Units |
|---|---|
| 8.9875517923(14)×109 | N·m2/C2 |
| 14.3996 | eV·Å·e−2 |
| 10−7 | (N·s2/C2)c2 |
What is the dimension of spring?
What is K in Gauss law?
In vacuum Gauss’ law takes the form: with k = 1/ε0 in SI units and k = 4π in Gaussian units. The vector dS has length dS, the area of an infinitesimal surface element on the closed surface, and direction perpendicular to the surface element dS, pointing outward.
What is K in physics value?
The constant of proportionality k is called Coulomb’s constant. In SI units, the constant k has the value. k = 8.99 × 10 9 N ⋅ m 2 /C 2.
What are the uses of Coulomb’s law?
What Are the Applications of Coulomb’s Law? Like charges repel each other, and unlike charges attract one another. The attraction or repulsion acts along a line between the two charges. The magnitude of the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
What is the constant used in Coulomb’s law?
The symbol k is a proportionality constant known as the Coulomb’s law constant. The value of this constant is dependent upon the medium that the charged objects are immersed in. In the case of air, the value is approximately 9.0 x 10 9 N • m 2 / C 2.
What is formula of Coulomb’s law?
Coulomb’s law describes the magnitude of the electrostatic force between two electric charges. The Coulomb’s law formula is: F = K e * q1 * q2 / r 2.
What does the Coulomb’s law stated?
– Coulomb’s Law or laws of electrostatic is related to the static electricity and capacitors (static charge). – Coulomb’s Law or magnetic force is related to magnetism and electromagnetism (i.e. – Faraday’s Law of electromagnetic induction is related to static and dynamic induced EMF, magnetism and generation of electricity in alternator.