Let theta_(1)andtheta_(2) be the temperature of two ends of a metal rod 'AB' of length 'L' in steady state (theta_(1)gttheta_(2)). If theta be the temperature of the section at a distance 'x' from the hot end A then find 'theta'. (assume steady state conditions)

Let theta_(1)andtheta_(2) be the temperature of two ends of a metal ro

1.	Let theta_(1)andtheta_(2) be the temperature of two ends of a metal rod 'AB' of length 'L' in steady state (theta_(1)gttheta_(2)). If theta be the temperature of the section at a distance 'x' from the hot end A then find 'theta'. (assume steady state conditions)
Answer» SOLUTION :TEMPERATURE gradient is constant. i.e., `(theta_(1)-theta)/x=(theta-theta_(2))/(L-x)` After solving, we get `theta=theta_(1)-((theta_(1)-theta_(2))/L)x`.