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QTest #3-solutions - Version 112/ABDAA QTest#3...

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Version 112/ABDAA – QTest #3 – Antoniewicz – (57030) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points Air becomes a conductor when the electric field strength exceeds 3 . 01 × 10 6 N/C. Determine the maximum amount of charge that can be carried by a metal sphere 4 . 3 m in radius. The value of the Coulomb constant is 8 . 99 × 10 9 N · m 2 / C 2 . 1. 0.0188334 2. 0.0041015 3. 0.0145846 4. 0.0108782 5. 0.000402436 6. 0.00619076 7. 0.00899328 8. 0.0218213 9. 0.0112632 10. 0.000748331 Correct answer: 0 . 00619076 C. Explanation: Let : E = 3 . 01 × 10 6 N / C , k e = 8 . 99 × 10 9 N · m 2 / C 2 , and r = 4 . 3 m . q = E r 2 k C = (3 . 01 × 10 6 N / C) (4 . 3 m) 2 8 . 99 × 10 9 N · m 2 / C 2 = 0 . 00619076 C . 002 10.0points Two large, parallel, insulating plates are charged uniformly with the same positive areal charge density + σ , which is the charge per unit area. What is the magnitude of the resultant elec- tric field E (where “outside” stands for above and below the two plates)? The permittivity of free space ǫ 0 = 1 4 π k e .
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