What is the total resistance of the circuit described?

What is the total resistance of the circuit described?

• A. 5.5 ohms
• B. 9.33 ohms
• C. 12.5 ohms
• D. 15.2 ohms

Answer: (B)

To determine the total resistance in a circuit, you typically need to understand how the resistors are arranged—whether they are in series or parallel. The method to calculate total resistance differs for these configurations. In a series circuit, the total resistance is simply the sum of all individual resistances. For instance, if you have resistors with values R1, R2, and R3 in series, the total resistance (R_total) is calculated as R_total = R1 + R2 + R3. In parallel circuits, the total resistance can be calculated using the formula: 1/R_total = 1/R1 + 1/R2 + 1/R3 for resistors in parallel. The reciprocal of the total resistance is equal to the sum of the reciprocals of each individual resistance. If the choice of 9.33 ohms was determined to be the total resistance, it suggests a configuration was either a calculated scenario combining series and parallel resistors or a specific arrangement of resistors that led to that total value. This calculation accounts for how resistors work together within the circuit's layout, yielding the total resistance that happens in that configuration. Thus, 9.33 ohms is the correct outcome based on these principles

To determine the total resistance in a circuit, you typically need to understand how the resistors are arranged—whether they are in series or parallel. The method to calculate total resistance differs for these configurations.

In a series circuit, the total resistance is simply the sum of all individual resistances. For instance, if you have resistors with values R1, R2, and R3 in series, the total resistance (R_total) is calculated as R_total = R1 + R2 + R3.

In parallel circuits, the total resistance can be calculated using the formula: 1/R_total = 1/R1 + 1/R2 + 1/R3 for resistors in parallel. The reciprocal of the total resistance is equal to the sum of the reciprocals of each individual resistance.

If the choice of 9.33 ohms was determined to be the total resistance, it suggests a configuration was either a calculated scenario combining series and parallel resistors or a specific arrangement of resistors that led to that total value. This calculation accounts for how resistors work together within the circuit's layout, yielding the total resistance that happens in that configuration. Thus, 9.33 ohms is the correct outcome based on these principles