Energy Conservation: Criteria and Examples

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Energy conservation involves the total energy of a system, including kinetic energy, potential energy, and energy from external fields. In the case of a particle in a uniform oscillating electric field, energy is conserved when accounting for all energy components. The principle of conservation states that energy lost by one part of the system is gained by another, maintaining a constant total energy. Understanding these interactions is crucial for grasping energy conservation in dynamic systems. Overall, energy conservation is upheld as long as all forms of energy are considered.
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energy is conserved ?

hi,
just read about energy conservation but i am not so clear about it .for example : a particle moves in uniform oscillation electric field - does the energy conserved ?


what is the criterion for conservation energy?

thanks
 
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Energy conservation refers to the total energy of a system. In the situation you refer to, the relevant components of the energy are (1) the particle's kinetic energy, (2) the particle's potential energy and (3) the energy contained in the field itself. When you do a full accounting of energy, it is conserved.
 
A charged particle moving in an electric field contributes K.E to the the whole energy , and is more of part of the TOTAL-ENERGY , Conservation.Of.Energy is taken in sense , that at the lost of some energy , energy is gained by some other source within the system , so that Total energy remains the same.

BJ.
 
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Thread 'A scenario of non-uniform circular motion'

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Thread 'Do electron density waves accompany EM waves in coaxial cables?'

Maxwell’s equations imply the following wave equation for the electric field $$\nabla^2\mathbf{E}-\frac{1}{c^2}\frac{\partial^2\mathbf{E}}{\partial t^2} = \frac{1}{\varepsilon_0}\nabla\rho+\mu_0\frac{\partial\mathbf J}{\partial t}.\tag{1}$$ I wonder if eqn.##(1)## can be split into the following transverse part $$\nabla^2\mathbf{E}_T-\frac{1}{c^2}\frac{\partial^2\mathbf{E}_T}{\partial t^2} = \mu_0\frac{\partial\mathbf{J}_T}{\partial t}\tag{2}$$ and longitudinal part...
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