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
The circuit diagram contains an inconsistency: if the two 40 \, resistors are in parallel, their equivalent resistance is 20 \, . If the total current is 1.2 \, A, the voltage across them would be V = I × R = 1.2 \, A × 20 \, = 24 \, V, which contradicts the 12 \, V shown by the voltmeter. To find a matching answer from the options, we will assume the total current (1.2 \, A) and the resistor values (40 \, ) are correct, and the 12 \, V reading is a distractor. Step 1: Calculate the equivalent resistance of the two parallel resistors. For two resistors in parallel, the equivalent resistance R_eq is given by: (1)/(R_eq) = (1)/(R_1) + (1)/(R_2) (1)/(R_eq) = (1)/(40 \, ) + (1)/(40 \, ) (1)/(R_eq) = (2)/(40 \, ) R_eq = (40 \, )/(2) = 20 \, Step 2: Calculate the total power developed by the system. The total current I is 1.2 \, A. The power P is given by P = I^2 R_eq. P = (1.2 \, A)^2 × 20 \, P = 1.44 \, A^2 × 20 \, P = 28.8 \, W Step 3: Convert the time from minutes to seconds. The time t is 5 \, minutes. t = 5 \, minutes × 60 \, sminute t = 300 \, s Step 4: Calculate the total energy developed. The energy E is given by E = P × t. E = 28.8 \, W × 300 \, s E = 8640 \, J The calculated energy matches option E. The final answer is E 8640 J. Send me the next one 📸