A Cylindrical Capacitor Is Made of Two Thin-Walled Concentric Cylinders

question 29

Multiple Choice

A cylindrical capacitor is made of two thin-walled concentric cylinders.The inner cylinder has radius r₁ = 4.0 mm,and the outer one a radius r₂ = 8.0 mm.The common length of the cylinders is L = 150 m. What is the potential energy stored in this capacitor when a potential difference 4.0 V is applied between the inner and outer cylinder? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

• A) 9.6 × 10^-8 J
• B) 1.3 × 10^-8 J
• C) 6.3 × 10^-8 J
• D) 0.34 × 10^-8 J
• E) 4.6 × 10^-8 J

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Definitions:

Variable Factor

An input in the production process that can be adjusted in the short term to change the output level, such as labor or raw materials.

Fixed Factors

Elements of production that cannot be easily increased or decreased in the short term, such as land, buildings, or capital equipment.

Weak Axiom

A principle or condition in economics that provides a minimal criterion for consumer choice consistency under certain assumptions.

Profit Maximization

A process or strategy in which a firm's primary objective is to achieve the highest possible profits by adjusting its production and pricing techniques.