3 the insulated power cable engineers association icea recommends the

Question

3. The Insulated Power Cable Engineers Association (ICEA) recommends the following approximated formula for the damage curve of cables (copper conductor): \left[\frac{T}{A}\right]^{2} t=0.0297 \log \left[\frac{T_{2}+234}{T_{1}+234}\right] where: I = current in Amps A = conductor’s area in CICULAR MILS (CM) t = damage time T1 = initial temperature in C T2 = damage (final) temperature in C Demonstrate that this equation is equivalent to the equation derived in class using metric units: I^{2} t=\frac{C D A^{2}}{\rho_{0} \alpha_{0}} \ln \left[\frac{1+\alpha_{0}\left(T_{d}-T_{0}\right)}{1+\alpha_{0}\left(T_{i}-T_{0}\right)}\right]