What charge magnitude produces an electric field of 1.0 N/C at a distance of 1.0 m from the charge?

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Study for the UCF PHY2054 General Physics Exam. Use flashcards and multiple-choice questions complete with hints and explanations. Boost your understanding and get exam-ready!

Multiple Choice

What charge magnitude produces an electric field of 1.0 N/C at a distance of 1.0 m from the charge?

Explanation:
Electric field from a point charge falls off as 1/r^2: E = k q / r^2, with k ≈ 8.99×10^9 N·m^2/C^2. Solve for the charge: q = E r^2 / k. Plugging in E = 1 N/C and r = 1 m gives q = 1 × 1 / 8.99×10^9 C ≈ 1.11×10^-10 C. So the required charge magnitude is about 1.11×10^-10 C.

Electric field from a point charge falls off as 1/r^2: E = k q / r^2, with k ≈ 8.99×10^9 N·m^2/C^2. Solve for the charge: q = E r^2 / k. Plugging in E = 1 N/C and r = 1 m gives q = 1 × 1 / 8.99×10^9 C ≈ 1.11×10^-10 C. So the required charge magnitude is about 1.11×10^-10 C.

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