General Physics II · Homework and Worked Solutions
Course notes · Formula sheet · Source map
Seven assignments, 40 problems, with every assigned subpart covered. Each problem includes its conditions, the relevant lecture method, and a worked solution. English is primary; Chinese notes clarify signs, assumptions, and common mistakes.
题意根据所给章末习题完整转述,保留数值、限制条件与各小问;电路图按原连接和极性重绘。解答依据课堂方法推导并核算;资料中未附教师答案册,因此这里是整理后的参考解答,不冒称官方答案。
Assignments and problem links
| Assignment | Assigned problems | Main methods |
|---|---|---|
| 1 · Electric fields and Gauss's law | Ch. 1: 3, 7, 10; Ch. 2: 4, 6, 9 | Dipole expansion, Coulomb integration, Gaussian symmetry |
| 2 · Potential and local laws | Ch. 3: 2, 4, 7; Ch. 4: 2, 5 | Gradient, line integral, curl, divergence, surface/volume integrals |
| 3 · Conductors and circuits | Ch. 5: 3, 4, 8; Ch. 6: 5, 7, 8; Ch. 7: 3, 5, 9 | Images, equipotentials, local Ohm's law, Kirchhoff rules, energy |
| 4 · Magnetic force and fields | Ch. 8: 3, 4, 7; Ch. 9: 2, 7, 9 | Lorentz force, ring superposition, magnetic moment, Ampère law |
| 5 · Dipoles and induction | Ch. 10: 1; Ch. 11: 1, 3, 4, 7 | Far-field expansion, Faraday/Lenz laws, induced fields, motional emf |
| 6 · Inductance and AC | Ch. 12: 5, 7, 9; Ch. 13: 2, 4, 5 | Flux linkage, magnetic energy, source work, phasors, normal modes |
| 7 · Maxwell equations and energy | Ch. 14: 1, 3, 4 | Displacement current, Poynting theorem, induction torque |
Reading conventions
- Problem preserves the original task; Method links to the lecture sections used; Solution states the derivation and all requested conclusions.
- Directions use right-handed coordinates. Current, emf, flux, capacitor charge, and terminal voltage are defined before signs are used. A boxed magnitude is distinguished from a signed component.
- Unless stated otherwise, space is vacuum, \(k=1/(4\pi\epsilon_0)\), and idealizations are those of the exercise. Long-wire, far-field, thin-wire, negligible-edge, and negligible-self-inductance approximations are stated where used.
- PDF page numbers and printed page numbers appear in each page's source metadata. Figure records identify each redraw and original computed plot.