True temperature

Dynamic error:

HW

Use computer

programs, e$.$g$.,$

MATLAB$/$Python

$E(t)=-20\{A{e}^{-0\mathrm{.}1t}+B{e}^{-{10}^{4}t}+E{e}^{-200t}(1+200t)\}$

The term $B{e}^{-{10}^{4}t}$ decays to zero after about $5{10}^{-4}s$

The term $E{e}^{-200t}(1+200t)$ decays to zero after about $25$

$ms.$

The term $A{e}^{-0\mathrm{.}1t},$ which corresponds to the $10$ s time constant

of the thermocouple, takes about $50$s to decay to zero and has

the greatest effect on the dynamic error.

to solve the

problem with exact

values of A$,$ B$,$ C$,$ D$,$

E$.$ Plot the error

against time.

$E(t)=T_M(t)-T_T(t)$