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
Welcome back — missed you this week. Step 1: Calculate the equivalent capacitance of the two 4 F capacitors connected in series. For capacitors in series, the reciprocal of the equivalent capacitance is the sum of the reciprocals of individual capacitances. (1)/(C_s1) = (1)/(4 \, ) + (1)/(4 \, ) (1)/(C_s1) = (2)/(4 \, ) C_s1 = 4 \, 2 = 2 \, Step 2: Calculate the equivalent capacitance of C_s1 (2 F) connected in parallel with the 10 F capacitor. For capacitors in parallel, the equivalent capacitance is the sum of individual capacitances. C_p1 = C_s1 + 10 \, C_p1 = 2 \, + 10 \, = 12 \, Step 3: Calculate the total effective capacitance of C_p1 (12 F) connected in series with the 8 F capacitor. (1)/(C_eff) = (1)/(C_p1) + (1)/(8 \, ) (1)/(C_eff) = (1)/(12 \, ) + (1)/(8 \, ) Find a common denominator, which is 24. (1)/(C_eff) = (2)/(24 \, ) + (3)/(24 \, ) (1)/(C_eff) = (5)/(24 \, ) C_eff = (24)/(5) \, C_eff = 4.8 \, Comparing this result with the given options, option D is 4.8 F. The final answer is D. 4.8 . Send me the next one 📸