Irodov Solutions

Author: dexter

  • Irodov Problem 3.77 — Discharge of Capacitor Through Resistor

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    dexter
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    Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.77 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving discharge of capacitor through resistor. Charge parameters and geometry as specified Given Information See problem statement for all given quantities. Physical…

  • Irodov Problem 3.77 — Discharge of Capacitor Through Resistor

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    by

    dexter
    in

    Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.77 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving discharge of capacitor through resistor. Charge parameters and geometry as specified Given Information See problem statement for all given quantities. Physical…

  • Problem 2.139 — Thermal Conductivity: Wiedemann-Franz Law

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    dexter
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    Problem Statement State the Wiedemann-Franz law relating thermal and electrical conductivity of metals, and verify it for copper at $T=300\ \text{K}$. ($\kappa=400\ \text{W/m·K}$, $\sigma_{el}=6\times10^7\ \Omega^{-1}\text{m}^{-1}$) Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying the relevant conservation…

  • HC Verma Chapter 7 Problem 24 — Centripetal acceleration in non-uniform circular motion

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    dexter
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    Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A particle moves in a circle of radius 2 m. Its speed at a given instant is 4 m/s and is increasing at 3 m/s². Find the total acceleration at that instant. $a_c = v^2/r$; $a_t = dv/dt$; $a…

  • Problem 2.138 — Newton’s Law of Cooling: Time Constant

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    dexter
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    Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A metal sphere of mass $m=0.5\ \text{kg}$, specific heat $c=400\ \text{J/kg·K}$, surface area $A=0.04\ \text{m}^2$ is in air with heat transfer coefficient $h=20\ \text{W/m}^2\text{K}$. Find the cooling time constant. Energy balance: $mc\,dT/dt = -hA(T-T_ Given Information $h=20\ \text{W/m}^2\text{K}$ Physical…

  • Irodov Problem 3.76 — Energy Method: Capacitor Force

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    dexter
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    Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.76 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving energy method: capacitor force. Charge parameters and geometry as specified in Irodo Given Information See problem statement for all given quantities.…

  • Irodov Problem 3.76 — Energy Method: Capacitor Force

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    by

    dexter
    in

    Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.76 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving energy method: capacitor force. Charge parameters and geometry as specified in Irodo Given Information See problem statement for all given quantities.…

  • Problem 2.137 — Thermal Resistance

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    dexter
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    Problem Statement Analyze the circuit: Analyze the circuit: Find the thermal resistance of the copper rod in Problem 2.136 and of a steel rod ($\kappa=50\ \text{W/m·K}$) of same dimensions. What is the total resistance in series? Thermal resistance (analogous to electrical resistance): $R_{th} = L/(\kappa A)$. $$R_{Cu} = \frac{0.5}{400\t Given Information See problem statement for…

  • HC Verma Chapter 7 Problem 23 — Satellite: orbital speed and period

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    dexter
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    Problem Statement Solve the gravitation problem: Solve the gravitation problem: A satellite orbits Earth at height 300 km above the surface. Find its orbital speed and period. ($R_E = 6400$ km, $g = 9.8$ m/s²) $v = \sqrt{gR_E^2/r}$; $T = 2\pi r/v$; $r = R_E + h$ Step 1: $r = (6400+300)\times10^3 = 6.7\times10^6$ m.…

  • Irodov Problem 3.75 — Force on Dielectric in Capacitor

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    dexter
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    Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.75 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving force on dielectric in capacitor. Charge parameters and geometry as specified in Iro Given Information See problem statement for all given…