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(a) Two plates have the same thickness (h) and cross sectional area (A) but different thermal conductivities (ki) and (k2). Consider the two plates are joined together in following two arrangement with all edges insulated. (i) Heat passing through Plate 1 and then Plate 2 in series; and (ii) Heat passing through Plate 1 and Plate 2 side by side in parallel. For exposed surfaces at two ends which are kept at constant temperatures, T₁ and Tb, and based on electrical analogy, develop the analogous equations for calculating the heat conduction rate through the two plates for the conditions as mentioned above. (12 marks) (b) Based on the results obtained in (a), calculate the corresponding thermal resistances for the both cases in (a) with h = 10 mm, A = 20 cm², kı₁ = 2 W/mK and k2 = 20 W/mK. (6 marks) (c) Discuss the application of the results in (a) and (b) for analysing heat transfer across building façade constructed by various materials and combinations at different seasons. (7 marks)