A charge accelerating between two plates

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An alpha particle with a charge of 3.2 x 10-19 C accelerates between two oppositely charged plates in a uniform electric field of 39,000 N/C over a distance of 4.50 x 10-3 m. Despite the uniformity of the electric field, the potential energy of the alpha particle does change as it moves from the positive to the negative plate. The particle gains kinetic energy due to the work done by the electric field, which is a conservative field. This process illustrates the relationship between work and electrostatic potential energy. Understanding these concepts is crucial for analyzing particle dynamics in electric fields.
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Hi all,

Suppose an alpha particle of 3.2 x 10-19 C accelerates from rest between two oppositely charged plates starting from the positive plate. The electric field between the plates is uniform equal to 39000N/C. The distance between the plates is 4.50 x 10-3m

Does the alpha particle potential energy change? I assume since the field is uniform then the PE will not change.
 
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There is a change. When the particle travels from the positive to the negative plate, it accelerates and acquires some kinetic energy (and radiates some too). The necessary work has been done by the electric field and, since it is a conservative field, there is an associated change in electrostatic potential energy
 
To see the relation between work and voltage, check out http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elewor.html"
 
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