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physics A-Level Physics
 
Solved problems for the chapter:
 

Uniform Electric Fields

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Motion of a Charged Particle in an Electric Field
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Detailed solution steps are available at:
 
https://en.openprof.com/wb/chapter:uniform_electric_fields/4396/


Example 1.

The electrical potential energy of an electron increases by 4 keV. How much voltage does it use?

    
Example 2.

An Electron and a proton move in the direction of the lines of force of a homogeneous electric field. What are their accelerations? The strength of the electric field is 10 kV/cm.


The base charge of an electron is , the mass of an electron is and the mass of a proton is .

    
3.

An electron flies at an initial speed of 20,000 km/s into a homogeneous electric field of density 1 kV/cm. The direction of motion of the electron is the same as the direction of the electric field lines.

  • At what distance does the electron stop?

  • How does it move thereafter?


The charge of an electron is and the mass is .

    
4.

Two oppositely charged parallel plates are spaced 2 cm apart. A proton is at rest next to the positively charged plate. We connect a voltage of 40 kV across the plates so that the proton starts to move towards the negatively charged plate. How long does it take to reach it?


The base charge of a proton is , and the mass of the proton is .

    
5.

A stream of electrons flows through the cathode ray tube from left to right and hits the screen there. A sawtooth voltage with an amplitude of 20 V and an oscillation period of 1.1 s acts on the stream. Sawtooth plate electrodes are placed vertically and deflect the electrons perpendicular to their direction of motion. A voltage of 2 V deflects the stream on the screen by 1 cm. The voltage range from one side of the screen to the other is from -10 V to +10 V. How long does it take for the spot of the stream to travel the distance of 1 cm on the screen?

    
6.

Two parallel plates of length 8 cm each are spaced 3 mm apart. The plates are connected to an electrical voltage. An electron flies between the plates at a speed of 80,000 km/s so that upon entering, the track of its motion is parallel to the plates and is located next to the negatively charged plate. What is the voltage between the plates so that the electron will just hit the positively charged plate after the flight?


The charge of an electron is and the mass is .

    
7.

An electron flies in between two horizontal parallel plates at a speed of 12000 km/s and at an angle with respect to the horizontal. The upper plate is negatively charged while the lower one is positively charged. What is the voltage between the plates if the electron exits at an angle . The length of the plates is 10 cm and the distance between them is 8 mm.


The charge of the electron is and the mass of the electron is .