Electrons

5.1 Electron - Physics Form 5
PHYSICS • Form 5 • Chapter 5: Electronics

5.1 Electron

Learn how electrons are released from a heated metal surface through thermionic emission, how cathode rays are produced and accelerated in a vacuum tube, and how their behaviour in electric and magnetic fields reveals their properties.

Learning Objectives

  • State the definition of thermionic emission and cathode rays.
  • Describe the production of cathode rays in a vacuum tube using low voltage and extra high tension (E.H.T.) power supplies.
  • Explain the characteristics of cathode rays and their deflection in electric and magnetic fields.
  • Apply Fleming's left-hand rule to determine the direction of deflection of cathode rays in a magnetic field.
  • Solve problems involving the conservation of energy to determine the electrical potential energy and maximum velocity of electrons in a cathode ray tube.

Deflection of Cathode Rays in Deflection Tube and Maltese Cross Tube

See how electrons travel in straight lines, deflect towards a positively charged plate in an electric field, and deflect in a magnetic field according to Fleming's left-hand rule.

Deflection Tube

When the deflection plates are switched on, cathode rays curve towards the positive plate in a parabolic path. This proves that cathode rays are negatively charged.

Cathode Anode Positive plate Negative plate Cathode rays Fluorescent screen

Maltese Cross Tube

A sharp shadow of the Maltese cross is formed on the fluorescent screen. When a magnet is brought near, the cathode ray shadow shifts while the light shadow stays centred.

Cathode Anode Cross Fluorescent screen Deflected rays

Short Explanation

What is Thermionic Emission?

Thermionic emission is the emission of free electrons from a heated metal surface. When a tungsten filament is heated by a 6 V power supply, free electrons gain enough kinetic energy to escape from the metal surface.

What are Cathode Rays?

Cathode rays are high-velocity electron beams formed when electrons emitted from the cathode are attracted to the anode in a vacuum tube.

Role of the Vacuum Tube

The vacuum state allows electrons to accelerate towards the anode without colliding with air molecules. This prevents energy loss and allows electrons to achieve maximum velocity.

E.H.T. Power Supply

The E.H.T. power supply provides a high potential difference across the cathode and anode to accelerate electrons toward the anode.

Electrical potential energy of an electron

\(E = eV\)

where \(e\) is the charge of an electron and \(V\) is the potential difference between the cathode and anode.

Conservation of energy in a cathode ray tube

\(eV = \dfrac{1}{2}mv_{\text{max}}^2\)

Electrical potential energy is converted into maximum kinetic energy of the electron.

Maximum velocity of an electron

\(v_{\text{max}} = \sqrt{\dfrac{2eV}{m}}\)

where \(m\) is the mass of an electron. The maximum velocity is directly proportional to the square root of the potential difference: \(v_{\text{max}} \propto \sqrt{V}\).

Component Function
6 V power supply / Heating filament Supplies thermal energy to heat the cathode/filament to emit electrons via thermionic emission.
Cathode Negative electrode from which electrons are emitted.
Anode Positive electrode that attracts the emitted electrons.
E.H.T. power supply Provides a high potential difference across the cathode and anode to accelerate electrons toward the anode.
Vacuum state Allows electrons to accelerate towards the anode without colliding with air molecules, ensuring no energy loss and allowing electrons to achieve maximum velocity.
Milliammeter (mA) Connected in the E.H.T. circuit to show current flow when cathode rays bridge the gap. If the E.H.T. connection is reversed, no current flows.

Try to Answer First

Answer in your mind, then press “Check Answer”.

1

What is thermionic emission, and how does coating the filament with barium oxide affect the process?

Check Answer
Answer: Thermionic emission is the emission of free electrons from a heated metal surface. Coating the surface with metal oxides such as barium oxide reduces the operating temperature required to emit electrons.
2

Why must the cathode ray tube be evacuated to a state of vacuum?

Check Answer
Answer: It ensures that electrons can accelerate towards the anode without colliding with air molecules, preventing energy loss and allowing electrons to reach maximum velocity.
3

An accelerating potential difference of \(800\text{ V}\) is applied across the cathode and anode. What is the maximum velocity of an electron? (\(e = 1.6 \times 10^{-19}\text{ C}\), \(m = 9.11 \times 10^{-31}\text{ kg}\))

Check Answer
Answer: Using \(v_{\text{max}} = \sqrt{\dfrac{2eV}{m}}\), \(v_{\text{max}} = \sqrt{\dfrac{2(1.6 \times 10^{-19})(800)}{9.11 \times 10^{-31}}} \approx 1.68 \times 10^7\text{ m s}^{-1}\).

Common Mistakes

  • !Confusing the direction of electron beam movement with conventional current when using Fleming's left-hand rule: students often point the second finger in the direction of electron travel instead of the opposite direction.
  • !Forgetting to take the square root when calculating velocity from \(v^2 = \dfrac{2eV}{m}\).
  • !Assuming that increasing accelerating voltage by 4 times increases velocity by 4 times, forgetting that \(v \propto \sqrt{V}\) (velocity actually doubles).
  • !Confusing the roles of the 6 V power supply (heats the filament) and the E.H.T. power supply (accelerates electrons).

Concept Misunderstandings

Misunderstanding

Cathode rays are electromagnetic waves like X-rays or gamma rays.

Correct Concept

Cathode rays are fast-moving streams of negatively charged particles (electrons) with mass, charge, and momentum.

Misunderstanding

Both shadows in the Maltese cross experiment are caused by cathode rays.

Correct Concept

One shadow is caused by light emitted from the hot glowing filament, which is unaffected by magnetic fields. The second shadow is formed by cathode rays, which are deflected by a magnetic field.

Summary

  • Thermionic emission: Release of free electrons from a heated metal surface.
  • Cathode rays: High-velocity beams of electrons accelerated by an E.H.T. power supply in a vacuum tube.
  • Properties of cathode rays: Travel in straight lines, carry negative charge, possess kinetic energy and momentum, cause fluorescence, and are deflected by both electric and magnetic fields.
  • Electric deflection: Always curves towards the positively charged plate in a parabolic path.
  • Magnetic deflection: Follows Fleming's left-hand rule, setting conventional current opposite to electron motion.
  • Energy conservation equation: \(eV = \dfrac{1}{2}mv_{\text{max}}^2\) gives \(v_{\text{max}} = \sqrt{\dfrac{2eV}{m}}\).

Short Activity

Objective: Identify thermionic emission, cathode ray properties, and electron velocity calculations.

A. Objective Quiz

1 Which statement correctly explains why cathode rays deflect towards the positive plate in a deflection tube?

2 What happens to the maximum velocity of electrons in a cathode ray tube if the potential difference across the anode and cathode is quadrupled?

B. Fill in the Blanks

3 The process of emitting free electrons from a heated metal surface is called emission.

4 In a cathode ray tube, the electrical potential energy converted into kinetic energy is given by the formula \(E =\) .

C. Matching / Drag and Drop

Drag each component to the correct function. If using a phone, tap the answer first, then tap the matching box.

Component
6 V power supply
E.H.T. power supply
Vacuum tube
Fluorescent screen
Function
Supplies energy to heat the tungsten filament so electrons are released Correct âś“ Try again Empty
Provides high potential difference to accelerate electrons to high speed Correct âś“ Try again Empty
Prevents electron collisions with air molecules so no energy is lost Correct âś“ Try again Empty
Produces visible glowing light when struck by high-energy cathode rays Correct âś“ Try again Empty
 

Keywords

Thermionic emission Cathode rays Extra High Tension (E.H.T.) Cathode Anode Fluorescence Fleming's left-hand rule

Electrons

5.1 Electron - Physics Form 5
PHYSICS • Form 5 • Chapter 5: Electronics

5.1 Electron

Learn how electrons are released from a heated metal surface through thermionic emission, how cathode rays are produced and accelerated in a vacuum tube, and how their behaviour in electric and magnetic fields reveals their properties.

Learning Objectives

  • State the definition of thermionic emission and cathode rays.
  • Describe the production of cathode rays in a vacuum tube using low voltage and extra high tension (E.H.T.) power supplies.
  • Explain the characteristics of cathode rays and their deflection in electric and magnetic fields.
  • Apply Fleming's left-hand rule to determine the direction of deflection of cathode rays in a magnetic field.
  • Solve problems involving the conservation of energy to determine the electrical potential energy and maximum velocity of electrons in a cathode ray tube.

Deflection of Cathode Rays in Deflection Tube and Maltese Cross Tube

See how electrons travel in straight lines, deflect towards a positively charged plate in an electric field, and deflect in a magnetic field according to Fleming's left-hand rule.

Deflection Tube

When the deflection plates are switched on, cathode rays curve towards the positive plate in a parabolic path. This proves that cathode rays are negatively charged.

Cathode Anode Positive plate Negative plate Cathode rays Fluorescent screen

Maltese Cross Tube

A sharp shadow of the Maltese cross is formed on the fluorescent screen. When a magnet is brought near, the cathode ray shadow shifts while the light shadow stays centred.

Cathode Anode Cross Fluorescent screen Deflected rays

Short Explanation

What is Thermionic Emission?

Thermionic emission is the emission of free electrons from a heated metal surface. When a tungsten filament is heated by a 6 V power supply, free electrons gain enough kinetic energy to escape from the metal surface.

What are Cathode Rays?

Cathode rays are high-velocity electron beams formed when electrons emitted from the cathode are attracted to the anode in a vacuum tube.

Role of the Vacuum Tube

The vacuum state allows electrons to accelerate towards the anode without colliding with air molecules. This prevents energy loss and allows electrons to achieve maximum velocity.

E.H.T. Power Supply

The E.H.T. power supply provides a high potential difference across the cathode and anode to accelerate electrons toward the anode.

Electrical potential energy of an electron

\(E = eV\)

where \(e\) is the charge of an electron and \(V\) is the potential difference between the cathode and anode.

Conservation of energy in a cathode ray tube

\(eV = \dfrac{1}{2}mv_{\text{max}}^2\)

Electrical potential energy is converted into maximum kinetic energy of the electron.

Maximum velocity of an electron

\(v_{\text{max}} = \sqrt{\dfrac{2eV}{m}}\)

where \(m\) is the mass of an electron. The maximum velocity is directly proportional to the square root of the potential difference: \(v_{\text{max}} \propto \sqrt{V}\).

Component Function
6 V power supply / Heating filament Supplies thermal energy to heat the cathode/filament to emit electrons via thermionic emission.
Cathode Negative electrode from which electrons are emitted.
Anode Positive electrode that attracts the emitted electrons.
E.H.T. power supply Provides a high potential difference across the cathode and anode to accelerate electrons toward the anode.
Vacuum state Allows electrons to accelerate towards the anode without colliding with air molecules, ensuring no energy loss and allowing electrons to achieve maximum velocity.
Milliammeter (mA) Connected in the E.H.T. circuit to show current flow when cathode rays bridge the gap. If the E.H.T. connection is reversed, no current flows.

Try to Answer First

Answer in your mind, then press “Check Answer”.

1

What is thermionic emission, and how does coating the filament with barium oxide affect the process?

Check Answer
Answer: Thermionic emission is the emission of free electrons from a heated metal surface. Coating the surface with metal oxides such as barium oxide reduces the operating temperature required to emit electrons.
2

Why must the cathode ray tube be evacuated to a state of vacuum?

Check Answer
Answer: It ensures that electrons can accelerate towards the anode without colliding with air molecules, preventing energy loss and allowing electrons to reach maximum velocity.
3

An accelerating potential difference of \(800\text{ V}\) is applied across the cathode and anode. What is the maximum velocity of an electron? (\(e = 1.6 \times 10^{-19}\text{ C}\), \(m = 9.11 \times 10^{-31}\text{ kg}\))

Check Answer
Answer: Using \(v_{\text{max}} = \sqrt{\dfrac{2eV}{m}}\), \(v_{\text{max}} = \sqrt{\dfrac{2(1.6 \times 10^{-19})(800)}{9.11 \times 10^{-31}}} \approx 1.68 \times 10^7\text{ m s}^{-1}\).

Common Mistakes

  • !Confusing the direction of electron beam movement with conventional current when using Fleming's left-hand rule: students often point the second finger in the direction of electron travel instead of the opposite direction.
  • !Forgetting to take the square root when calculating velocity from \(v^2 = \dfrac{2eV}{m}\).
  • !Assuming that increasing accelerating voltage by 4 times increases velocity by 4 times, forgetting that \(v \propto \sqrt{V}\) (velocity actually doubles).
  • !Confusing the roles of the 6 V power supply (heats the filament) and the E.H.T. power supply (accelerates electrons).

Concept Misunderstandings

Misunderstanding

Cathode rays are electromagnetic waves like X-rays or gamma rays.

Correct Concept

Cathode rays are fast-moving streams of negatively charged particles (electrons) with mass, charge, and momentum.

Misunderstanding

Both shadows in the Maltese cross experiment are caused by cathode rays.

Correct Concept

One shadow is caused by light emitted from the hot glowing filament, which is unaffected by magnetic fields. The second shadow is formed by cathode rays, which are deflected by a magnetic field.

Summary

  • Thermionic emission: Release of free electrons from a heated metal surface.
  • Cathode rays: High-velocity beams of electrons accelerated by an E.H.T. power supply in a vacuum tube.
  • Properties of cathode rays: Travel in straight lines, carry negative charge, possess kinetic energy and momentum, cause fluorescence, and are deflected by both electric and magnetic fields.
  • Electric deflection: Always curves towards the positively charged plate in a parabolic path.
  • Magnetic deflection: Follows Fleming's left-hand rule, setting conventional current opposite to electron motion.
  • Energy conservation equation: \(eV = \dfrac{1}{2}mv_{\text{max}}^2\) gives \(v_{\text{max}} = \sqrt{\dfrac{2eV}{m}}\).

Short Activity

Objective: Identify thermionic emission, cathode ray properties, and electron velocity calculations.

A. Objective Quiz

1 Which statement correctly explains why cathode rays deflect towards the positive plate in a deflection tube?

2 What happens to the maximum velocity of electrons in a cathode ray tube if the potential difference across the anode and cathode is quadrupled?

B. Fill in the Blanks

3 The process of emitting free electrons from a heated metal surface is called emission.

4 In a cathode ray tube, the electrical potential energy converted into kinetic energy is given by the formula \(E =\) .

C. Matching / Drag and Drop

Drag each component to the correct function. If using a phone, tap the answer first, then tap the matching box.

Component
6 V power supply
E.H.T. power supply
Vacuum tube
Fluorescent screen
Function
Supplies energy to heat the tungsten filament so electrons are released Correct âś“ Try again Empty
Provides high potential difference to accelerate electrons to high speed Correct âś“ Try again Empty
Prevents electron collisions with air molecules so no energy is lost Correct âś“ Try again Empty
Produces visible glowing light when struck by high-energy cathode rays Correct âś“ Try again Empty
 

Keywords

Thermionic emission Cathode rays Extra High Tension (E.H.T.) Cathode Anode Fluorescence Fleming's left-hand rule