Author: dexter

  • Irodov Problem 3.92 — Field from Non-Uniform Surface Charge

    Problem Statement Irodov Problem 3.92 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving field from non-uniform surface charge. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

  • Irodov Problem 3.92 — Field from Non-Uniform Surface Charge

    Problem Statement Irodov Problem 3.92 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving field from non-uniform surface charge. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

  • Problem 2.165 — Gibbs Adsorption Equation

    Problem Statement Derive the Gibbs adsorption isotherm relating surface tension change to solute concentration. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying the relevant conservation laws and equations of motion, then solving systematically with careful attention…

  • HCV Ch28 P6 – Wien’s Displacement Law: Peak Wavelength

    Problem Statement Solve the oscillation/wave problem: Solve the oscillation/wave problem: Find the wavelength at which radiation emitted by the Sun is maximum, given the Sun’s surface temperature is 5778 K. Also find the peak wavelength for a body at 300 K (room temperature). ($b = 2.898 \times 10^{-3}$ m·K) Wien’s constant $b = 2.898 \times…

  • Irodov Problem 3.91 — Mixed Geometry: Plane and Sphere

    Problem Statement Irodov Problem 3.91 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving mixed geometry: plane and sphere. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

  • Problem 2.164 — Adsorption: Langmuir Isotherm

    Problem Statement Derive the Langmuir adsorption isotherm for a gas adsorbing on a surface with $N_{sites}$ identical sites. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying the relevant conservation laws and equations of motion, then solving…

  • Irodov Problem 3.91 — Mixed Geometry: Plane and Sphere

    Problem Statement Irodov Problem 3.91 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving mixed geometry: plane and sphere. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

  • Problem 2.163 — Emulsions: Droplet Size and Stability

    Problem Statement An oil-in-water emulsion has droplets of radius $R=1\ \mu\text{m}$ and $\sigma_{oil-water}=0.05\ \text{N/m}$. Find the excess pressure inside a droplet and the free energy per droplet relative to bulk separation. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

  • HCV Ch28 P5 – Newton’s Law of Cooling

    Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A body at 70°C cools to 60°C in 5 minutes in a room at 25°C. How long will it take to cool from 60°C to 50°C? $T_{room} = 25°C$ Cools 70°C → 60°C in 5 minutes Find time to…

  • Irodov Problem 3.90 — Self-Energy: Shell vs Sphere

    Problem Statement Solve the work-energy problem: Solve the work-energy problem: Irodov Problem 3.90 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving self-energy: shell vs sphere. Charge parameters and geometry as specified in Irodov 3.90 $\var Given Information See problem statement for all…