Category: Part 3: Electricity

Problem Statement Solve the capacitor/capacitance problem: Three capacitors $C_1 = 1.0\,\mu\text{F}$, $C_2 = 2.0\,\mu\text{F}$, $C_3 = 3.0\,\mu\text{F}$ are connected: (a) in series, (b) in parallel. Find the equivalent capacitance and the charge/voltage on each capacitor when total voltage $V = 60\,\text{V}$. $C_1 = 1.0\,\mu\text{F}$, $C_2 = 2.0\,\mu\text{ Given Information Plate area $A$ (for parallel plate)…

Problem Statement Solve the capacitor/capacitance problem: A parallel-plate capacitor of capacitance $C = 2.0\,\mu\text{F}$ is charged to voltage $V = 100\,\text{V}$. Find (a) the energy stored, (b) the energy density in the field, and (c) the force between the plates. $C = 2.0\,\mu\text{F} = 2.0 \times 10^{-6}\,\text{F}$ $V = 100\,\text{V}$ Plate area $A$, Given Information…

Problem Statement Solve the capacitor/capacitance problem: Find the capacitance per unit length of a cylindrical capacitor with inner radius $a$ and outer radius $b$, filled with a dielectric of permittivity $\varepsilon$. $a$ = inner cylinder radius $b$ = outer cylinder radius $\varepsilon$ = dielectric permittivity $L$ = length (result will be per unit le Given…

Problem Statement Irodov Problem 3.126 (Section 3.2 — Conductors and Capacitors). Dielectrics: Polarization and Bound Charges. This problem of Irodov’s Problems in General Physics, Part 3 (Electrodynamics), asks us to analyse the configuration described by its title — dielectrics: polarization and bound charges — applying the fundamental laws of electromagnetism to obtain a closed-form result…

Problem Statement Solve the capacitor/capacitance problem: Find the capacitance of a spherical capacitor consisting of two concentric spherical shells with inner radius $a$ and outer radius $b$, separated by vacuum. $a$ = inner shell radius $b$ = outer shell radius Vacuum between shells ($\varepsilon = 1$) The field between two concentric spheres with charg Given…

Problem Statement Irodov Problem 3.125 (Section 3.2 — Conductors and Capacitors). Dielectrics: Polarization and Bound Charges. This problem of Irodov’s Problems in General Physics, Part 3 (Electrodynamics), asks us to analyse the configuration described by its title — dielectrics: polarization and bound charges — applying the fundamental laws of electromagnetism to obtain a closed-form result…

Problem Statement Irodov Problem 3.124 (Section 3.2 — Conductors and Capacitors). Dielectrics: Polarization and Bound Charges. This problem of Irodov’s Problems in General Physics, Part 3 (Electrodynamics), asks us to analyse the configuration described by its title — dielectrics: polarization and bound charges — applying the fundamental laws of electromagnetism to obtain a closed-form result…

Problem Statement Irodov Problem 3.123 (Section 3.2 — Conductors and Capacitors). Dielectrics: Polarization and Bound Charges. This problem of Irodov’s Problems in General Physics, Part 3 (Electrodynamics), asks us to analyse the configuration described by its title — dielectrics: polarization and bound charges — applying the fundamental laws of electromagnetism to obtain a closed-form result…

Problem Statement Solve the capacitor/capacitance problem: A parallel-plate capacitor has plates of area $A$ separated by distance $d$ filled with a dielectric of permittivity $\varepsilon$. Find the capacitance $C$. Calculate numerically for $A = 100\,\text{cm}^2$, $d = 1.0\,\text{mm}$, $\varepsilon = 2.0$. $A = 100\,\text{cm}^2 = 10^{-2}\,\text{m}^2$ $d = Given Information Plate area $A$ (for parallel…

Problem Statement Irodov Problem 3.122 (Section 3.2 — Conductors and Capacitors). Dielectrics: Polarization and Bound Charges. This problem of Irodov’s Problems in General Physics, Part 3 (Electrodynamics), asks us to analyse the configuration described by its title — dielectrics: polarization and bound charges — applying the fundamental laws of electromagnetism to obtain a closed-form result…