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
Step 1: Write the formula for equivalent resistance of resistors in parallel. For n resistors connected in parallel, the equivalent resistance R_eq is given by: (1)/(R_eq) = (1)/(R_1) + (1)/(R_2) + + (1)/(R_n) Step 2: Substitute the given values into the formula. We have three resistors, each with a resistance of 2 \, . So, R_1 = R_2 = R_3 = 2 \, . (1)/(R_eq) = (1)/(2 \, ) + (1)/(2 \, ) + (1)/(2 \, ) Step 3: Calculate the sum of the reciprocals. (1)/(R_eq) = (1+1+1)/(2 \, ) = (3)/(2 \, ) Step 4: Calculate R_eq. R_eq = (2 \, )/(3) R_eq ≈ 0.6666... \, Rounding to two decimal places, R_eq ≈ 0.67 \, . Step 5: Compare with the given options. The calculated value matches option A. The final answer is A. 0.67 \, . Send me the next one 📸