One junction of a certain thermoelectric couple is at a fixed temperature r T and the other junction is at temperature T . The thermo electromotive force for this is expressed by `E=K(T-T_(r ))[T_(0)-(1)/(2)(T+T_(r ))]`. At temperature `T=(1)/(2)T_(0)`, the thermoelectric power is

Options

A. `(1)/(2)KT_(0)`
B. `KT_(0)`
C. `(1)/(2)KT_(0)^(2)`
D. `(1)/(2)K(T_(0)-T_(r))^(2)`

Explanation

Thermoelectric power `=(dE)/(dt)`
`=K(T-T_(r))(-(1)/(2))+[T_(0)-(1)/(2)(T+T_(r))]K`
at `T=(T_(0))/(2)`
`(dE)/(dT)=(KT_(0))/(2)`