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# hw06a - aldawsari(ma28683 – HW06 – Betancourt –(16856...

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Unformatted text preview: aldawsari (ma28683) – HW06 – Betancourt – (16856) 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 24.1-24.4 001 10.0 points Two conductors insulated from each other are charged by transferring electrons from one conductor to the other. After 9 . 357 × 10 13 have been transferred, the potential difference between the conductors is 16 . 7 V. The charge on an electron is- 1 . 60218 × 10- 19 C . What is the capacitance of the system? Correct answer: 8 . 97699 × 10- 7 F. Explanation: Let : e =- 1 . 60218 × 10- 19 C , N = 9 . 357 × 10 13 electrons , and V = 16 . 7 V . One conductor gains a charge of Q =- N e while the other gains a charge of- Q. The capacitance of the system is C = q V =- N e V =- (9 . 357 × 10 13 ) (- 1 . 60218 × 10- 19 C) 16 . 7 V = 8 . 97699 × 10- 7 F . 002 (part 1 of 4) 10.0 points An air-filled capacitor consists of two parallel plates, each with an area of 6 . 2 cm 2 , sepa- rated by a distance 2 . 2 mm . A 16 V potential difference is applied to these plates. The permittivity of a vacuum is 8 . 85419 × 10- 12 C 2 / N · m 2 . 1 pF is equal to 10- 12 F . The magnitude of the electric field between the plates is 1. E = 1 V d . 2. E = parenleftbigg V d parenrightbigg 2 . 3. E = parenleftbigg d V parenrightbigg 2 . 4. E = V d . 5. E = ( V d ) 2 . 6. None of these 7. E = 1 ( V d ) 2 . 8. E = V d . correct 9. E = d V . Explanation: Since E is constant between the plates, V = integraldisplay vector E · d vector l = E d E = V d . 003 (part 2 of 4) 10.0 points The magnitude of the surface charge density on each plate is 1. σ = ǫ parenleftbigg d V parenrightbigg 2 ....
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hw06a - aldawsari(ma28683 – HW06 – Betancourt –(16856...

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