Stopping potential
Chinese equivalent: 遏止电压 / 截止电压
Stopping potential is the reverse voltage that reduces photocurrent to zero. Use eVₛ = Kₘₐₓ = hf − φ, read an I–V graph, and see a 400 nm example.
Syllabus path: Modern Physics › Photoelectric Effect
CSCA Exam Prep
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CSCA Physics Exam Glossary
Definition
What is stopping potential?
Direct answer: Stopping potential is the smallest reverse potential difference that makes the photocurrent fall to zero. In magnitude, eVₛ equals the maximum photoelectron kinetic energy, so eVₛ = Kₘₐₓ = hf − φ; on a photocurrent–voltage graph it is the reverse-voltage intercept where current reaches zero.
How to calculate or read stopping potential
- Identify the incident frequency f or wavelength λ and the metal work function φ; convert every energy to a consistent unit.
- Find the photon energy from E = hf or E = hc/λ.
- Apply Einstein's photoelectric equation Kₘₐₓ = hf − φ; if hf is below φ, photoemission does not occur.
- Use eVₛ = Kₘₐₓ. When Kₘₐₓ is expressed in electron-volts, the numerical value of Vₛ in volts is the same.
- For a graph, read the reverse voltage at which the photocurrent first reaches zero, using the magnitude unless the question asks for the signed voltage.
Worked example: 400 nm light and a 2.0 eV work function
Use hc ≈ 1240 eV·nm, so the photon energy for λ = 400 nm is 1240/400 = 3.10 eV.
| Step | Calculation | Result |
|---|---|---|
| Photon energy | 1240 eV·nm ÷ 400 nm | 3.10 eV |
| Maximum kinetic energy | 3.10 eV − 2.0 eV | 1.10 eV |
| Stopping potential | eVₛ = 1.10 eV | Vₛ = 1.10 V |
The maximum photoelectron kinetic energy is 1.10 eV, so the magnitude of the stopping potential is 1.10 V.
Common stopping-potential mistakes
- Using the saturation voltage instead of the reverse voltage where the photocurrent becomes zero.
- Subtracting the photon energy from the work function instead of using Kₘₐₓ = hf − φ.
- Mixing joules and electron-volts without converting units.
- Assuming greater light intensity raises the stopping potential; at fixed frequency it mainly changes the photocurrent, not Kₘₐₓ.
- Reporting a negative magnitude when the graph uses a negative reverse-voltage axis; distinguish the signed intercept from the positive magnitude Vₛ.
Sources and review
Last reviewed: . The definition, equation, graph interpretation, and numerical example were checked against the cited physics reference. Use the official CSCA source for current exam scope and rules.
Related tutorial and examples
Photoelectric Effect
Modern Physics: Photoelectric Effect 1. Phenomenon & Definition The Photoelectric Effect is the emission of electrons when light shines on a material. The emitted electrons are called photoelectrons, and the resulting current is the photocurrent. Classical Dilemma vs. Quantum Exp…
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