Category: Part 3: Electricity

Problem Statement Solve the magnetic field/force problem: Problem 3.338 — Magnetic fields and forces $c = 3\times10^8\,\text{m/s}$ Newton’s second law $\mathbf{F}_\text{net} = m\mathbf{a}$ is the fundamental relation between net force and acceleration. For systems of connected objects (Atwood machine, blocks on inclines), each body is treated separately wi Given Information Current $I$ or charge $q$…

Problem Statement Solve the magnetic field/force problem: Problem 3.335 — Magnetic fields and forces $c = 3\times10^8\,\text{m/s}$ Newton’s second law $\mathbf{F}_\text{net} = m\mathbf{a}$ is the fundamental relation between net force and acceleration. For systems of connected objects (Atwood machine, blocks on inclines), each body is treated separately wi Given Information Current $I$ or charge $q$…

Problem Statement A sphere of uniform charge density $\rho$ has a spherical cavity with center displaced by $\vec{l}$ from the sphere center. Show the field inside the cavity is uniform: $\vec{E} = \rho\vec{l}/(3\varepsilon_0)$. Given Information All quantities, constants, and constraints stated in the problem above Physical constants used as needed (see Concepts section) Physical Concepts…

Problem Statement Problem 3.240 — Inductance: self and mutual 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…

Problem Statement Solve the magnetic field/force problem: Problem 3.336 — Magnetic fields and forces $c = 3\times10^8\,\text{m/s}$ Newton’s second law $\mathbf{F}_\text{net} = m\mathbf{a}$ is the fundamental relation between net force and acceleration. For systems of connected objects (Atwood machine, blocks on inclines), each body is treated separately wi Given Information Current $I$ or charge $q$…

Problem Statement Determine the electric field for the configuration described: A thin spherical shell of radius $R$ carries total surface charge $q$. Find $E$ inside and outside. See problem statement for all given quantities. Gauss’s law relates the electric flux through any closed surface to the total enclosed charge. It is one of Maxwell’s four…

Problem Statement Solve the magnetic field/force problem: Problem 3.333 — Magnetic fields and forces $c = 3\times10^8\,\text{m/s}$ Newton’s second law $\mathbf{F}_\text{net} = m\mathbf{a}$ is the fundamental relation between net force and acceleration. For systems of connected objects (Atwood machine, blocks on inclines), each body is treated separately wi Given Information Current $I$ or charge $q$…

Problem Statement Problem 3.238 — Inductance: self and mutual 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…

Problem Statement Solve the magnetic field/force problem: Problem 3.334 — Magnetic fields and forces $c = 3\times10^8\,\text{m/s}$ Newton’s second law $\mathbf{F}_\text{net} = m\mathbf{a}$ is the fundamental relation between net force and acceleration. For systems of connected objects (Atwood machine, blocks on inclines), each body is treated separately wi Given Information Current $I$ or charge $q$…

Problem Statement Problem 3.239 — Inductance: self and mutual 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…