homework08 - I = d q dt or dq = I dt . To fnd the total...

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Rodriguez, Brandon – Homework 8 – Due: Sep 19 2006, 11:00 am – Inst: Andrew J Rader 1 This print-out should have 2 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. The due time is Central time. Please notice that For your homework to be considered towards your grade, it needs to be submitted one hour beFore the corresponding recitation starts. Work submitted aFter this time, but beFore the DUE DATE on top oF this page, will be accepted but not graded. PLEASE REMEMBER THAT YOU MUST CARRY OUT YOUR CALCULA- TIONS TO AT LEAST THREE SIGNI±I- CANT ±IGURES. YOUR ANSWER MUST BE WITHIN ONE PERCENT O± THE CORRECT RESULT TO BE MARKED AS CORRECT BY THE SERVER. 001 (part 1 oF 2) 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 2 t 2 1 + c t 1 2. q = a 3 t 3 1 - b 2 t 2 1 + c t 1 correct 3. q = a t 3 1 - b t 2 + c t 1 4. q = a 3 t 3 1 - b 2 t 2 1 + c 5. q = a t 2 1 - b t 1 + c Explanation: The unit oF current is Coulomb per second
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Unformatted text preview: I = d q dt or dq = I dt . To fnd the total charge in coulombs that passes through the conductor, one must inte-grate the current over the time interval. q = Z t 1 dq = Z t 1 I dt = Z t 1 ( a t 2-b t + c ) dt = a 3 t 3 1-b 2 t 2 1 + c t f f f f t 1 = a 3 t 3 1-b 2 t 2 1 + c t 1 . 002 (part 2 oF 2) 0 points IF I is in A, and a = 4 C / s 3 , b = 3 C / s 2 , and c = 13 C / s, what quantity oF charge moves across the section oF the conductor From t 1 = 2 s to t 2 = 4 s? Correct answer: 82 . 6667 C. Explanation: Let : a = 4 C / s 3 , b = 3 C / s 2 , c = 13 C / s , t 1 = 2 s , and t 2 = 4 s . Since q = a 3 t 3-b 2 t 2 + c t f f f f t 2 t 1 , then q 2 = ( 4 C / s 3 ) 3 (4 s) 3-( 3 C / s 2 ) 2 (4 s) 2 + (13 C / s)(4 s) = 113 . 333 C , and q 1 = ( 4 C / s 3 ) 3 (2 s) 3-( 3 C / s 2 ) 2 (2 s) 2 + (13 C / s)(2 s) = 30 . 6667 C . so that q 21 = q 2-q 1 = 82 . 6667 C . keywords:...
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This note was uploaded on 10/18/2010 for the course PHYSICS 251 taught by Professor Pedon during the Spring '08 term at IUPUI.

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