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: Establish the relationship between resistance and diameter. The problem states that the electrical resistance R is inversely proportional to the square of the diameter d. This can be written as: R = (k)/(d^2) where k is the constant of proportionality. Step 2: Calculate the constant of proportionality k. We are given that R = 2.0 ohms when d = 3 mm. Substitute these values into the equation: 2.0 = (k)/((3)^2) 2.0 = (k)/(9) Multiply both sides by 9 to solve for k: k = 2.0 × 9 k = 18 Step 3: Find the value of R when d = 4 mm. Now use the calculated value of k = 18 and the new diameter d = 4 mm in the relationship: R = (18)/((4)^2) R = (18)/(16) R = 1.125 The value of R when d = 4 mm is 1.125 ohms. 1.125 ohms Send me the next one 📸