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 capacitors are connected in series. For capacitors in series, the reciprocal of the equivalent capacitance (C_eq) is the sum of the reciprocals of individual capacitances. Step 1: Identify the given capacitance values. C_1 = 6 \, C_2 = 4 \, C_3 = 3 \, Step 2: Apply the formula for equivalent capacitance in series. (1)/(C_eq) = (1)/(C_1) + (1)/(C_2) + (1)/(C_3) Substitute the given values: (1)/(C_eq) = (1)/(6 \, ) + (1)/(4 \, ) + (1)/(3 \, ) Step 3: Find a common denominator for the fractions, which is 12. (1)/(C_eq) = (2)/(12 \, ) + (3)/(12 \, ) + (4)/(12 \, ) Step 4: Add the fractions. (1)/(C_eq) = (2+3+4)/(12 \, ) = (9)/(12 \, ) Step 5: Simplify the fraction. (1)/(C_eq) = (3)/(4 \, ) Step 6: Invert the fraction to find C_eq. C_eq = (4)/(3) \, The calculated equivalent capacitance is (4)/(3) \, . This matches option (C). The final answer is C) 4/3 \, . Send me the next one 📸