For questions 30-34 consider the following: Electrical Engineering Given the RL circuit below. =0 Mechanical and Civil E

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For Questions 30 34 Consider The Following Electrical Engineering Given The Rl Circuit Below 0 Mechanical And Civil E 1 (187.3 KiB) Viewed 35 times

For questions 30-34 consider the following: Electrical Engineering Given the RL circuit below. =0 Mechanical and Civil Engineering From Newton's law of cooling, and copper V LS ball is submersed in cooling fluid and cools according to de -=-0.2(0-a), 0(0) = 100°C. dt di +Ri=V, and Solve this differential equation and express Solve this differential equation L dt e in terms of a. You may not use express i in terms of a. You may not use separation of the variables. separation of the variables. iO)= 0, L = 2 Henry, R=0.42 and Vs = 0.4a 30. The first step in solving the differential di equation is to rewrite 2- +0.41 = 0.4a into: dt 2 30. The first step in solving the differential dᎾ equation is to rewrite =-0.2(0-a) dt into: de (a de (ii) +0.20 = 0.2a dt (iii) de=-0.2(0-a)dt ( 110-a) = -0.2[dt (i) --0.21dt di (-a) di + 0.2i = 0.2a dt (ii) (iii) di=-0.2(i-a)dt 31. The general solution to the differential equation is: 2 32. The method(s) you had to use to solve this differential equation is/are () Direct Integration (ii) Integrating Factor 2 ASSESSOR MODERATOR WIS22AI/MAT12A/MAT126A-RE-ASSIGNMENT 2021 Page 7 33. The specific solution to the differential equation is: 2 2 34. After After t= 10 seconds, the copper t = 10 seconds, the current