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

question 16

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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