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A one-meter long bar has been heated unevenly, with temperature in °C at a distance z meters from one end at time t given by H(z, t) = 110e 0.05 sin(rz) %3D (a) On a sheet of paper, sketch a graph of H against z for t = 0 and t = 1. Use this graph to select all correct statements below. DA. When t = 0, the rod is the same temperature throughout OB. The rod is coldest at the z = 0 end, and warmest at the z = 1 and OC. The two ends of the rod remain at 0°C OD. The rod is coldest in the middle DE. The middle of the rod gets colder over time OF The closer you are to the middle of the rod, the greater the temperature change from t = 0 to t = 1 OG. None of the above (b) On a sheet of paper, sketch a graph of H against t for z = 1/8, z 1/4, and z 1/2. Use this graph, and your observations from the previous graph, to select all correct statements below. DA. As time goes on, all part of the rod approach the same temperature B. The temperature near the middle of the rod changes most quicky when t = 0, and changes more slowly afterwards C. Larger z values correspond to a higher temperature D. Some parts of the rod are getting hotter over time, and other parts are getting colder over time E. Larger z values correspond to a quicker change of temperature F. None of the above

A one-meter long bar has been heated unevenly, with temperature in °C at a distance z meters from one end at time t given by H(z, t) = 110e 0.05 sin(rz) %3D (a) On a sheet of paper, sketch a graph of H against z for t = 0 and t = 1. Use this graph to select all correct statements below. DA. When t = 0, the rod is the same temperature throughout OB. The rod is coldest at the z = 0 end, and warmest at the z = 1 and OC. The two ends of the rod remain at 0°C OD. The rod is coldest in the middle DE. The middle of the rod gets colder over time OF The closer you are to the middle of the rod, the greater the temperature change from t = 0 to t = 1 OG. None of the above (b) On a sheet of paper, sketch a graph of H against t for z = 1/8, z 1/4, and z 1/2. Use this graph, and your observations from the previous graph, to select all correct statements below. DA. As time goes on, all part of the rod approach the same temperature B. The temperature near the middle of the rod changes most quicky when t = 0, and changes more slowly afterwards C. Larger z values correspond to a higher temperature D. Some parts of the rod are getting hotter over time, and other parts are getting colder over time E. Larger z values correspond to a quicker change of temperature F. None of the above

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A one-meter long bar has been heated unevenly, with temperature in °C at a distance z meters from one end at time t given by H(2, t) = 110e 0.06t sin(rz) 0 < <1. (a) On a sheet of paper, sketch a graph of H against z for t = 0 and t = 1. Use this graph to select all correct statements below. A. When t = 0, the rod is the same temperature throughout B. The rod is coldest at the r = 0 end, and warmest at the a = 1 and C. The two ends of the rod remain at 0°C D. The rod is coldest in the middle E. The middle of the rod gets colder over time F. The closer you are to the middle of the rod, the greater the temperature change from t = 0 to t = 1 G. None of the above %3D (b) On a sheet of paper, sketch a graph of H against t for a= 1/8, a= 1/4, and a = 1/2. Use this graph, and your observations from the previous graph, to select all correct statements below. JA. As time goes on, all part of the rod approach the same temperature B. The temperature near the middle of the rod changes most quicky when t = 0, and changes more slowly afterwards C. Larger a values correspond to a higher temperature D. Some parts of the rod are getting hotter over time, and other parts are getting colder over time E. Larger z values correspond to a quicker change of temperature F. None of the above OOO D
Transcribed Image Text:A one-meter long bar has been heated unevenly, with temperature in °C at a distance z meters from one end at time t given by H(2, t) = 110e 0.06t sin(rz) 0 < <1. (a) On a sheet of paper, sketch a graph of H against z for t = 0 and t = 1. Use this graph to select all correct statements below. A. When t = 0, the rod is the same temperature throughout B. The rod is coldest at the r = 0 end, and warmest at the a = 1 and C. The two ends of the rod remain at 0°C D. The rod is coldest in the middle E. The middle of the rod gets colder over time F. The closer you are to the middle of the rod, the greater the temperature change from t = 0 to t = 1 G. None of the above %3D (b) On a sheet of paper, sketch a graph of H against t for a= 1/8, a= 1/4, and a = 1/2. Use this graph, and your observations from the previous graph, to select all correct statements below. JA. As time goes on, all part of the rod approach the same temperature B. The temperature near the middle of the rod changes most quicky when t = 0, and changes more slowly afterwards C. Larger a values correspond to a higher temperature D. Some parts of the rod are getting hotter over time, and other parts are getting colder over time E. Larger z values correspond to a quicker change of temperature F. None of the above OOO D
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