Where does the energy to accelerate particle in an electric field come from?
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· No actual increase of rest mass takes place in the body. ... Why does the (relativistic) mass of an object increase when its speed ... So when something moves, it has kinetic energy.
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Imagine we have a constant electric field:
→
E = E 0ˆ z
If we have a particle with charge q, the force imparted on the particle by interacting with the field is
→
F = q ⋅ →
E = qE 0 ˆ z
Using Newtonian definition of
acceleration ,
→
a = ⇒ ..
x = ˆ z
So the particle has a constant acceleration in the same or opposite direction as the electric field (depending on the sign of the charge).
If you want maybe a more physical answer, the central question is something more like where does the energy come from? The particle begins at rest but then it accelerates without anything else being reduced. However, in order to keep the field static, we need to put energy into the system since we need to cancel out the particle's electric field itself.
→
E = E 0ˆ z
If we have a particle with charge q, the force imparted on the particle by interacting with the field is
→
F = q ⋅ →
E = qE 0 ˆ z
Using Newtonian definition of
acceleration ,
→
a = ⇒ ..
x = ˆ z
So the particle has a constant acceleration in the same or opposite direction as the electric field (depending on the sign of the charge).
If you want maybe a more physical answer, the central question is something more like where does the energy come from? The particle begins at rest but then it accelerates without anything else being reduced. However, in order to keep the field static, we need to put energy into the system since we need to cancel out the particle's electric field itself.
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