Combination Of Resistors Series And Parallel

Let the resistances be and . 1. The formula for two resistances in series: We are given: 2. The formula for two resistances in parallel: We are given: Multiplying both sides by : Now, solving these two equations: - Equation 1: - Equation 2: We can solve this system by using the quadratic equation: Solving this quadratic equation: Thus, or . Therefore, the resistances are 10 ohms and 40 ohms. Thus, the correct answer is and . % Correct Answer Correct Answer:} (B) 10 ohm and 40 ohm

The resistances of 3 and 6 are in series. So, the total resistance is: Now, the total resistance of the series combination is in parallel with the 3 resistor: Thus, the correct answer is 2.25 .