3.1 Electrostatics in Vacuum
Irodov Problems 3.1 to 3.53.
- 53problems
- 118figures
- Difficulty2.1avgDifficulty: 9 rated 1, 28 rated 2, 16 rated 3, 0 rated 4, 0 rated 5; mean 2.1.
- Uniqueness2.8avgUniqueness: 2 rated 1, 17 rated 2, 24 rated 3, 9 rated 4, 1 rated 5; mean 2.8.
| No. | Title | Difficulty | Uniqueness | Methods |
|---|---|---|---|---|
| 3.1 | Gravity Loses by Forty Orders | coulomb law · gravitation · dimensional analysis | ||
| 3.2 | One per Cent Is Enormous | coulomb law · dimensional analysis | ||
| 3.3 | A Leak Rate Read from Approach | coulomb law · free body · approximation expansion · calculus of motion | ||
| 3.4 | A Negative Charge Holds Two Apart | coulomb law · superposition · vector decomposition | ||
| 3.5 | Extra Tension from a Central Charge | coulomb law · symmetry · free body | ||
| 3.6 | The Field Vector in Components | coulomb law · vector decomposition | ||
| 3.7 | Two Dipoles Side by Side | superposition · symmetry · vector decomposition · electric dipole | ||
| 3.8 | Only the Symmetry Axis Survives | coulomb law · superposition · symmetry | ||
| 3.9 | Where the Ring's Field Peaks | coulomb law · superposition · symmetry · optimization | ||
| 3.10 | A Quadrupole Hides Behind Zero Charge | superposition · coulomb law · approximation expansion · symmetry | ||
| 3.11 | The Thread Samples the Ring's Field | coulomb law · superposition · electrostatic force · symmetry | ||
| 3.12 | A Cosine Ring Is a Dipole | superposition · coulomb law · electric dipole · approximation expansion | ||
| 3.13 | Two Views of a Finite Rod | coulomb law · superposition · approximation expansion | ||
| 3.14 | Half a Thread Tilts the Field | coulomb law · superposition · vector decomposition | ||
| 3.15 | Equal Angles Give Equal Fields | superposition · coulomb law · symmetry | ||
| 3.16 | A Cosine Shell Seen from Inside | superposition · coulomb law · symmetry | ||
| 3.17 | Two Shifted Balls Make a Shell | superposition · gauss law · symmetry | ||
| 3.18 | Volume Cosine Charge at the Center | coulomb law · superposition · symmetry | ||
| 3.19 | Half a Thread Through a Ring | superposition · coulomb law · symmetry | ||
| 3.20 | Two Charges Share One Window | superposition · coulomb law · symmetry | ||
| 3.21 | Flux Through a Slice of Ball | gauss law · symmetry · vector decomposition | ||
| 3.22 | Strongest Field Between Twin Threads | gauss law · superposition · optimization | ||
| 3.23 | Cosine Charge Summed as Threads | superposition · gauss law · symmetry | ||
| 3.24 | A Flux That Counts Only Length | gauss law · symmetry · vector decomposition | ||
| 3.25 | Thinning Charge Moves the Peak Inside | gauss law · symmetry · optimization | ||
| 3.26 | A Charge Cloud Flattens the Field | gauss law · symmetry | ||
| 3.27 | A Cloud That Ends Without an Edge | gauss law · symmetry · limiting cases | ||
| 3.28 | A Cavity Holds a Uniform Field | superposition · gauss law · symmetry | ||
| 3.29 | A Uniform Field Inside the Hole | superposition · gauss law · symmetry | ||
| 3.30 | Two Rings, Two Distances | electric potential · superposition · symmetry | ||
| 3.31 | Twice as Far, a Logarithm | gauss law · electric potential | ||
| 3.32 | Half a Shell, a Quarter Field | coulomb law · electric potential · symmetry · superposition | ||
| 3.33 | From Infinite Plane to Point Charge | electric potential · superposition · limiting cases · approximation expansion | ||
| 3.34 | Polar Coordinates from the Rim | electric potential · superposition · symmetry | ||
| 3.35 | A Linear Potential, a Uniform Field | electric potential · vector decomposition | ||
| 3.36 | Hyperbolic Fields from Saddle Potentials | electric potential · differential equation · symmetry | ||
| 3.37 | Spheroids, Cones and Hyperboloids | electric potential · symmetry | ||
| 3.38 | Half Again Higher at the Center | gauss law · electric potential · symmetry | ||
| 3.39 | Two Charges Shrink to One Moment | electric dipole · approximation expansion · electric potential · vector decomposition | ||
| 3.40 | Where the Dipole Field Turns Sideways | electric dipole · electric potential · vector decomposition | ||
| 3.41 | A Sphere Where Two Fields Balance | electric dipole · electric potential · superposition | ||
| 3.42 | Same Strength in Every Direction | electric potential · superposition · approximation expansion · electric dipole | ||
| 3.43 | Two Rings Make an Axial Dipole | electric potential · superposition · approximation expansion · electric dipole | ||
| 3.44 | Field Leaking Through a Hole | superposition · electric potential · approximation expansion · symmetry | ||
| 3.45 | The Field Outside a Capacitor | superposition · electric potential · approximation expansion · electric dipole | ||
| 3.46 | Pushed Sideways by a Radial Field | electric dipole · gauss law · vector decomposition | ||
| 3.47 | Head to Tail Dipoles Attract | electric dipole · potential energy · electrostatic force · approximation expansion | ||
| 3.48 | Potential Behind a Saddle Field | electric potential · differential equation | ||
| 3.49 | Cubic Potential, Built Term by Term | electric potential · differential equation | ||
| 3.50 | Three Components, One Hidden Saddle | electric potential · differential equation · symmetry | ||
| 3.51 | Charge from the Curvature of Potential | poisson equation · gauss law · electric potential | ||
| 3.52 | Space Charge That Silences a Plate | gauss law · poisson equation · electric potential | ||
| 3.53 | Parabolic Potential Means Uniform Charge | poisson equation · gauss law · symmetry |