2. Consider a metal rod with the equation of stateL- Lo = Lo+a(TYA%3DHere Lo, Y, A, To, and a are constants,T is the temperature, L is the length,and F is the tension. Work is given by dWa) Using the first law and the expression for dU in terms of it partial derivativeswith respect to T and L, show that for this system-FdL.(). -). G). (4). -se,b) By differentiating the first of these equations with respect to L and the secondwith respect to T show that),-r(器).=F-TƏTc) Using the above result and the equation of state, find an expression for(0/aL). Then, assuming that C. the heat capacity at constant length is aConstant. find an expression for the internal energy, U, as a function of T and L.

U is function of T & SS isfunction of T & LU= U(T,L)S= S(T, L)from partial…

2. onsider a metal rod with the equation of state L– Lo= Lo YA +a(T – To) - Here Lo, Y, A, To, and a are constants, T is the temperature, L is the length, and F is the tension. Work is given by dW = -F dL. a) Using the first law and the expression for dU in terms of it partial derivatives with respect to T and L, show that for this system ), - +(#), (#), -#().-) ƏT ƏT T b) By differentiating the first of these equations with respect to L and the second with respect to T show that = F -T ƏT Te

2. onsider a metal rod with the equation of state L– Lo= Lo YA +a(T – To) - Here Lo, Y, A, To, and a are constants, T is the temperature, L is the length, and F is the tension. Work is given by dW = -F dL. a) Using the first law and the expression for dU in terms of it partial derivatives with respect to T and L, show that for this system ), - +(#), (#), -#().-) ƏT ƏT T b) By differentiating the first of these equations with respect to L and the second with respect to T show that = F -T ƏT Te

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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