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the flux is equal to mobility × concentration × force per gram-ion. This is the so-called Teorell formula. [citation needed] The term "gram-ion" ("gram-particle") is used for a quantity of a substance that contains the Avogadro number of ions (particles). The common modern term is mole. The force under isothermal conditions consists of two parts:
F is the resultant force applied, t 1 and t 2 are times when the impulse begins and ends, respectively, m is the mass of the object, v 2 is the final velocity of the object at the end of the time interval, and; v 1 is the initial velocity of the object when the time interval begins. Impulse has the same units and dimensions (MLT −1) as momentum.
Power is the rate with respect to time at which work is done; it is the time derivative of work: =, where P is power, W is work, and t is time. We will now show that the mechanical power generated by a force F on a body moving at the velocity v can be expressed as the product: P = d W d t = F ⋅ v {\displaystyle P={\frac {dW}{dt}}=\mathbf {F ...
These forces and their associated displacements are called conjugate variables. [1] For example, consider the conjugate pair. The pressure acts as a generalized force: Pressure differences force a change in volume , and their product is the energy lost by the system due to work. Here, pressure is the driving force, volume is the associated ...
There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.
The flux through each patch is equal to the normal (perpendicular) component of the field, the dot product of F(x) with the unit normal vector n(x) (blue arrows) at the point x multiplied by the area dS. The sum of F · n, dS for each patch on the surface is the flux through the surface. Here are 3 definitions in increasing order of complexity.
The work W done by a constant force of magnitude F on a point that moves a displacement s in a straight line in the direction of the force is the product = For example, if a force of 10 newtons ( F = 10 N ) acts along a point that travels 2 metres ( s = 2 m ), then W = Fs = (10 N) (2 m) = 20 J .
Each element is associated with a vector dA of magnitude equal to the area of the element and with direction normal to the element and pointing "outward" (with respect to the orientation of the surface). For a loop of wire in a magnetic field, the magnetic flux Φ B is defined for any surface Σ whose boundary is the given loop.