Math Problem Statement
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Electric Circuits
Voltage Relations
Exponential Functions
Formulas
Voltage Divider Rule: U_2(t) = U_1(t) / 3
First-order RC Circuit Differential Equation: U_1(t) = U_0 e^{-t/τ}
Capacitor Discharge Equation: i(t) = (U_0 / R) e^{-t/τ}
Theorems
Voltage Divider Rule
Kirchhoff's Voltage Law
Ohm's Law
Suitable Grade Level
Undergraduate level (Physics or Electrical Engineering)