# HW5 - Version One – Homework 5 – Savrasov – 39821 –...

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Unformatted text preview: Version One – Homework 5 – Savrasov – 39821 – Apr 16, 2007 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. Current in a Conductor 01 27:01, calculus, numeric, > 1 min, normal. 001 (part 1 of 2) 1 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 t 2 1- b t 1 + c 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 t 1 correct 5. q = a 3 t 3 1- b 2 t 2 1 + c 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 = 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 ‚ fl fl fl fl t 1 = a 3 t 3 1- b 2 t 2 1 + c t 1 . 002 (part 2 of 2) 1 points If I is in A, and a = 2 C / s 3 , b = 3 C / s 2 , and c = 7 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: 33 . 3333 C. Explanation: Let : a = 2 C / s 3 , b = 3 C / s 2 , c = 7 C / s , t 1 = 2 s , and t 2 = 4 s ....
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## This note was uploaded on 10/28/2010 for the course PHY 12343 taught by Professor Turner during the Spring '10 term at University of Texas.

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HW5 - Version One – Homework 5 – Savrasov – 39821 –...

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