Irodov Solutions

Author: dexter

  • HC Verma Chapter 31 Problem 72 – Capacitor Voltage in Unequal Network

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    Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: A 24 V battery connects to: $C_1 = 8\mu$F in parallel with ($C_2 = 4\mu$F in series with $C_3 = 12\mu$F). Find voltage across $C_3$. Step 1: $C_2$ and $C_3$ in series: $C_{23} = \dfrac{4\times12}{16} = 3\,\mu$F. Step 2: Both $C_1$ and $C_{23}$ are across…

  • Problem 6.122 — Tunnel Effect: STM

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    Problem Statement In scanning tunneling microscopy (STM), the tip-sample distance changes by $\Delta d = 0.1$ nm. By what factor does the tunneling current change if $\kappa = 10^{10}$ m$^{-1}$? 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 4.230 — Waves: Acoustic Topological Insulators

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    Problem Statement Solve the oscillation/wave problem: Solve the oscillation/wave problem: A phononic crystal with broken time-reversal symmetry (rotating fluid in the resonators) can support topologically protected edge states. Describe the key properties of these states. Analogue of quantum Hall effect for acoustic waves. When the gyroscopic coupling Given Information Mass $m$ and spring constant $k$…

  • Irodov Problem 3.20 — Force on a Dipole in a Non-Uniform Field

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    Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: Show that the force on dipole $\vec{p}$ in non-uniform field $\vec{E}$ is $\vec{F} = \nabla(\vec{p}\cdot\vec{E})$. Calculate for $\vec{p} = p\hat{x}$ with field varying along $x$. $\vec{p} = p\hat{x}$, $E = E(x)$ In non-uniform fields, forces on $+q$ and Given…

  • Problem 3.355 — Magnetic fields and forces

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    Problem Statement Solve the magnetic field/force problem: Solve the magnetic field/force problem: Irodov Problem 3.355 — Magnetic fields and forces. This problem belongs to the section on Magnetic fields and forces . Key principles: Biot-Savart, Ampere, force on current, magnetic materials The solution proceeds by identifying the relevant physical configur Given Information Current $I$ or…

  • HCV Ch26 P12 – First Law: Free Expansion of Gas

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    Problem Statement An ideal gas expands freely (into vacuum) and doubles its volume at room temperature. Find $Q$, $W$, and $\Delta U$. 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…

  • Problem 6.129 — Zeeman Effect: Anomalous

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    Problem Statement Explain the anomalous Zeeman effect. For the sodium D lines, how many components appear? 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…

  • HC Verma Chapter 31 Problem 71 – Redistribution with Switch Open and Closed

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    Problem Statement $C_1 = 6\mu$F charged to 10 V (switch S open). $C_2 = 3\mu$F uncharged. When S closes, find final charges on both capacitors. 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…

  • Problem 6.185 — Nuclear Isospin

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    Problem Statement Solve the nuclear physics problem: Solve the nuclear physics problem: Explain the concept of isospin in nuclear physics. Find the isospin of the deuteron and the nucleon. Isospin (isobaric spin): Since the nuclear force is charge-independent, protons and neutrons are treated as two states of a single particle — the nucleon — with…

  • Problem 3.354 — Magnetic fields and forces

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    dexter
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    Problem Statement Solve the magnetic field/force problem: Solve the magnetic field/force problem: Irodov Problem 3.354 — Magnetic fields and forces. This problem belongs to the section on Magnetic fields and forces . Key principles: Biot-Savart, Ampere, force on current, magnetic materials The solution proceeds by identifying the relevant physical configur Given Information Current $I$ or…