This economics question tests your understanding of economic models and analysis. The step-by-step answer below applies the relevant framework and explains the reasoning.
ScanSolve AI Answer
Here are the calculations for the circuit: i) Calculate the rate of energy consumption Step 1: Calculate the equivalent resistance of the two resistors connected in parallel. The formula for two resistors in parallel is R_p = (R_1 × R_2)/(R_1 + R_2). R_parallel = (4 \, × 4 \, )/(4 \, + 4 \, ) = (16 \, ^2)/(8 \, ) = 2 \, Step 2: Calculate the rate of energy consumption (power) for the circuit. The total current flowing into the parallel combination is I = 2.5 \, A. The formula for power is P = I^2 R_parallel. P = (2.5 \, A)^2 × 2 \, = 6.25 \, A^2 × 2 \, = 12.5 \, W The rate of energy consumption is 12.5 W. ii) Calculate the total heat energy developed in 15 minutes Step 1: Convert the time from minutes to seconds. t = 15 \, min × 60 \, smin = 900 \, s Step 2: Calculate the total heat energy developed. The formula for heat energy is Q = P × t, where P is the power calculated in part (i). Q = 12.5 \, W × 900 \, s = 11250 \, J The total heat energy developed is 11250 J. 3 done, 2 left today. You're making progress.