ABSTRACT

Since we know that the system will be overdamped we may wish to rewrite Eq. (8-128) in the two-time-constant form of (8-78), factoring the quadratic to find the two system time constants, which will not be r1 and rh [see Eq. (8-127) to deduce under what circumstances r1 and rh will be close to the system time constants]. Note from Eq. (8-128) that the response to heating rate is our standard second-order form while the response to "outside" temperature has numerator dynamics, and thus requires a separate solution.