Category: Part 3: Electricity

  • Problem 3.129 — Self-inductance of coaxial cable

    Problem Statement Irodov Problem 3.129. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply it systematically. Dimensional…

  • Problem 3.260 — Electromagnetic induction

    Problem Statement Solve the magnetic field/force problem: Irodov Problem 3.260 — Electromagnetic induction. This problem belongs to the section on Electromagnetic induction . Key principles: Faraday: $\mathcal{E} = -d\Phi/dt$; Lenz; motional EMF; inductance The solution proceeds by identifying the relevant physical configuration, applying the governing law Given Information Current $I$ or charge $q$ and velocity…

  • Problem 3.164 — Magnetostatics and magnetic forces

    Problem Statement Solve the magnetic field/force problem: Irodov Problem 3.164 — Magnetostatics and magnetic forces. Key law: $B_{\text{wire}} = \mu_0 I/(2\pi r)$, torque $\tau = mB\sin\theta$, force $F = qvB\sin\theta$ This problem from the Magnetostatics and magnetic forces section requires applying the governing equation with the given geometry and nume Given Information Current $I$ or…

  • Problem 3.81 — Superposition theorem

    Problem Statement Solve the oscillation/wave problem: Irodov Problem 3.81. Each source analyzed alone (others zeroed). Results added. $I_3 = 2 + 1 = \boxed{3\,\text{A}}$ downward. Given Information Mass $m$ and spring constant $k$ (or equivalent), or wave parameters Initial conditions (amplitude $A$, phase $\phi$) as given Physical Concepts & Formulas Simple harmonic motion arises whenever…

  • Problem 3.49 — Non-uniform shell: $\sigma = \sigma_0\cos\theta$

    Problem Statement Irodov Problem 3.49. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply it systematically. Dimensional…

  • Problem 3.126 — Mutual inductance of coaxial loops

    Problem Statement Irodov Problem 3.126. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply it systematically. Dimensional…

  • Problem 3.261 — Electromagnetic induction

    Problem Statement Solve the magnetic field/force problem: Irodov Problem 3.261 — Electromagnetic induction. This problem belongs to the section on Electromagnetic induction . Key principles: Faraday: $\mathcal{E} = -d\Phi/dt$; Lenz; motional EMF; inductance The solution proceeds by identifying the relevant physical configuration, applying the governing law Given Information Current $I$ or charge $q$ and velocity…

  • Problem 3.82 — Two batteries in series aiding

    Problem Statement Irodov Problem 3.82. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply it systematically. Dimensional…

  • Problem 3.165 — Magnetostatics and magnetic forces

    Problem Statement Solve the magnetic field/force problem: Irodov Problem 3.165 — Magnetostatics and magnetic forces. Key law: $B_{\text{wire}} = \mu_0 I/(2\pi r)$, torque $\tau = mB\sin\theta$, force $F = qvB\sin\theta$ This problem from the Magnetostatics and magnetic forces section requires applying the governing equation with the given geometry and nume Given Information Current $I$ or…

  • Problem 3.50 — Van de Graaff generator

    Problem Statement Irodov Problem 3.50. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts & Formulas This problem draws on fundamental physical principles. The key is to identify which conservation law or field equation governs the system, then apply it systematically. Dimensional…