This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here are the calculations for total power (P) for both series and parallel configurations. Given: V_T = 24 \, V R_1 = 20 \, R_2 = 50 \, Series Circuit Calculation Step 1: Calculate the total resistance (R_T) for resistors in series. R_T = R_1 + R_2 R_T = 20 \, + 50 \, R_T = 70 \, Step 2: Calculate the total current (I_T) using Ohm's Law. I_T = (V_T)/(R_T) I_T = 24 \, V70 \, I_T = (12)/(35) \, A ≈ 0.343 \, A Step 3: Calculate the total power (P_T) for the series circuit. P_T = V_T · I_T P_T = 24 \, V · (12)/(35) \, A P_T = (288)/(35) \, W P_T ≈ 8.23 \, W Parallel Circuit Calculation Step 1: Calculate the total resistance (R_T) for resistors in parallel. (1)/(R_T) = (1)/(R_1) + (1)/(R_2) (1)/(R_T) = (1)/(20 \, ) + (1)/(50 \, ) (1)/(R_T) = (5)/(100 \, ) + (2)/(100 \, ) (1)/(R_T) = (7)/(100 \, ) R_T = (100)/(7) \, ≈ 14.29 \, Step 2: Calculate the total current (I_T) using Ohm's Law. I_T = (V_T)/(R_T) I_T = 24 \, V(100)/(7) \, I_T = (24 × 7)/(100) \, A I_T = (168)/(100) \, A = 1.68 \, A Step 3: Calculate the total power (P_T) for the parallel circuit. P_T = V_T · I_T P_T = 24 \, V · 1.68 \, A P_T = 40.32 \, W P_T = 40.32 \, W Drop the next question.