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Chapter 19: Q5CQ (page 694)

How are units of volts and electron volts related? How do they differ?

Short Answer

Expert verified

They are related by the given expression-

1 eV = (1.60 x 10-19C) (1V)

The main difference is that Volt is the unit of potential difference whereas electron-volts is the unit of energy.

Step by step solution

01

Definition of Electron Volts

The amount of kinetic energy gained by a single electron accelerating from rest for one-volt electric potential difference in vacuum is measured in electron-volts.

02

Explaning the relationship between volts and electron volts

The relation between volts and electron-volts is given as-

1 eV = (1.60 x 10-19 C) (1V)

Thus, electron-volts is defined as the amount of work done in carrying an electron between two points having a potential difference of1Vbetween them.

The main difference between them is that the electron-volts is a unit of energy, whereas the volt is the unit of electric potential difference.

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Most popular questions from this chapter

Explain in your own words why equipotential lines and surfaces must be perpendicular to electric field lines.

The voltage across a membrane forming a cell wall is \(80.0{\rm{ }}mV\) and the membrane is \(9.00{\rm{ }}nm\) thick. What is the electric field strength? (The value is surprisingly large, but correct. Membranes are discussed in Capacitors and Dielectrics and Nerve Conduction—Electrocardiograms.) You may assume a uniform electric field.

(a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength for air\(\left( {3.0 \times {{10}^6}\;V/m} \right)\)/ if the plates are separated by\(2.00\;mm\)and a potential difference of\(5.0 \times {10^3}\;V\)is applied?

(b) How close together can the plates be with this applied voltage?

An electron is to be accelerated in a uniform electric field having a strength of \({\bf{2}}.{\bf{00}} \times {\bf{1}}{{\bf{0}}^6}{\rm{ }}{\bf{V}}/{\bf{m}}\). (a) What energy in \(keV\) is given to the electron if it is accelerated through \({\bf{0}}.{\bf{400}}{\rm{ }}{\bf{m}}\)? (b) Over what distance would it have to be accelerated to increase its energy by \({\bf{50}}.{\bf{0}}{\rm{ }}{\bf{GeV}}\)?

An evacuated tube uses an accelerating voltage of \(40{\rm{ }}kV\) to accelerate electrons to hit a copper plate and produce \(x\) rays. Non-relativistically, what would be the maximum speed of these electrons?
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