Math Problem Statement

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Math Problem Analysis

Mathematical Concepts

Electricity and Magnetism
Capacitance
Electric Potential Energy

Formulas

Capacitance formula: C = ε * (A/d)
Potential energy stored in a capacitor: U = (1/2) * C * V^2

Theorems

Direct proportionality of capacitance to permittivity (ε)
Inverse proportionality of capacitance to plate distance (d)

Suitable Grade Level

Grades 10-12