Lines of Charge: Two Long Conducting Cylindrical Shells Are Coaxial

question 12

Multiple Choice

Lines of charge: Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm. The electric potential of the inner conductor, with respect to the outer conductor, is +600 V. An electron is released from rest at the surface of the outer conductor. What is the speed of the electron as it reaches the inner conductor? (e = 1.60 × 10^-19 C, m_el = 9.11 × 10^-31 kg, k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

• A) 1.1 × 10⁷ m/s
• B) 1.3 × 10⁷ m/s
• C) 1.5 × 10⁷ m/s
• D) 1.7 × 10⁷ m/s
• E) 1.9 × 10⁷ m/s

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