Energy = π * π
The total energy emitted over a time interval, Ξπ‘, is given by the equation:
ΞπΈ = π * π * Ξπ‘
If the charge is accelerating uniformly, the acceleration can be expressed as:
π = Ξπ£ / Ξπ‘
Where Ξπ£ is the change in velocity over the time interval Ξπ‘.
Therefore, the total energy emitted can also be expressed as:
ΞπΈ = π * (Ξπ£ / Ξπ‘) * Ξπ‘
Simplifying the equation gives:
ΞπΈ = π * Ξπ£
This shows that the total energy emitted is directly proportional to the change in velocity of the charge.