The temperature variation of a building Tg(t) is governed by the following differential equation dTB(t) Q + K2[T; – T;(t)] – K¸[T;(t) – TẠ(t)] = c- dt where Ts is the “set" temperature of the building, Q is such that the building is maintained at the “set" temperature when the atmosphere is at constant temperature To, K1 and K2 are constants, c is the thermal capacity of the building and TA(t) is the temperature of the atmosphere at time 1. If the atmospheric temperature fluctuates sinusoidally about the mean value To with an amplitude of T1 (°C) and a period of 2t/w (hour), i.e., TẠ(t) = T, + T1 sin(wt) determine the temperature variation of the building Tg (t). Note: Q, K1, K2, To, T1 and Ts are

The temperature variation of a building Tg(t) is governed by the following differential equation dTB(t) Q + K2[T; – T;(t)] – K¸[T;(t) – TẠ(t)] = c- dt where Ts is the “set" temperature of the building, Q is such that the building is maintained at the “set" temperature when the atmosphere is at constant temperature To, K1 and K2 are constants, c is the thermal capacity of the building and TA(t) is the temperature of the atmosphere at time 1. If the atmospheric temperature fluctuates sinusoidally about the mean value To with an amplitude of T1 (°C) and a period of 2t/w (hour), i.e., TẠ(t) = T, + T1 sin(wt) determine the temperature variation of the building Tg (t). Note: Q, K1, K2, To, T1 and Ts are

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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