hw07a - aldawsari(ma28683 HW07 Betancourt(16856 This...

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aldawsari (ma28683) – HW07 – Betancourt – (16856) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 25.1-25.5 001 (part 1 of 2) 10.0 points The current I = a t 2 - b t + c in a section of a conductor depends on time. What quantity of charge moves across the section of the conductor from t = 0 to t = t 1 ? 1. q = a t 3 1 - b t 2 + c t 1 2. q = a t 2 1 - b t 1 + c 3. q = a 3 t 3 1 - b 2 t 2 1 + c 4. q = a t 3 1 - b 2 t 2 1 + c t 1 5. q = a 3 t 3 1 - b 2 t 2 1 + c t 1 correct Explanation: The unit of current is Coulomb per second I = d q dt or dq = I dt . To find the total charge in coulombs that passes through the conductor, one must inte- grate the current over the time interval. q = integraldisplay t 1 0 dq = integraldisplay t 1 0 I dt = integraldisplay t 1 0 ( a t 2 - b t + c ) dt = bracketleftbigg a 3 t 3 1 - b 2 t 2 1 + c t bracketrightbigg vextendsingle vextendsingle vextendsingle vextendsingle t 1 0 = a 3 t 3 1 - b 2 t 2 1 + c t 1 . 002 (part 2 of 2) 10.0 points If I is in A, and a = 2 C / s 3 , b = 3 C / s 2 , and c = 10 C / s, what quantity of charge moves across the section of the conductor from t 1 = 2 s to t
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