This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Calculate the equivalent resistance (R_eq) of the two parallel resistors. The formula for two resistors in parallel is: R_eq = (R_1 × R_2)/(R_1 + R_2) Given R_1 = 6 and R_2 = 12 . R_eq = 6 × 12 6 + 12 R_eq = 72 ^218 R_eq = 4 Step 2: Calculate the total electric current (I) using Ohm's Law. Ohm's Law states V = I × R_eq, so I = (V)/(R_eq). Given the voltage V = 12 V and the equivalent resistance R_eq = 4 . I = 12 V4 I = 3 A The total electric current is 3 A. Send me the next one 📸