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Electric Potential Difference

Solution

V B -V A =(V B -V C )+(V C -V A )

For the path AC the angle θ is 135 o ,

V

C

−V

A

= −

C

C

ο

∫ E.

dl = −∫

E cos135 dl =

A

r

r

A

E

2

C

A

dl

The length of the line AC is √2 d

E

VC − VA

= ( 2d)

= Ed

2

For the path CB the work is zero and E is perpendicular to the path

therefore, V C -V A = 0

V

− V

= V

−V

B A C A

=

Ed

The Electron Volt Unit

A widely used unit of energy in atomic physics is the electron volt (eV).

ELECTRON VOLT, unit of energy, used by physicists to express the

energy of ions and subatomic particles that have been accelerated in particle

accelerators. One electron volt is equal to the amount of energy gained by

an electron traveling through an electrical potential difference of 1 V; this is

equivalent to 1.60207 x 10 –19 J. Electron volts are commonly expressed as

million electron volts (MeV) and billion electron volts (BeV or GeV).

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