In a series circuit with a total voltage of 12 volts and total current of 4 amps, what is the total resistance?

In a series circuit with a total voltage of 12 volts and total current of 4 amps, what is the total resistance?

• A. 2 ohms
• B. 3 ohms
• C. 4 ohms
• D. 6 ohms

Answer: (B)

To determine the total resistance in a series circuit, you can use Ohm's Law, which states that voltage equals current multiplied by resistance (V = I × R). Rearranging this formula to solve for resistance gives you R = V / I. In this scenario, the total voltage is 12 volts and the total current is 4 amps. Plugging these values into the rearranged formula, you get: R = 12 volts / 4 amps = 3 ohms. This calculation reveals that the total resistance in the circuit is 3 ohms, making the correct choice accurately reflect the result derived from the application of Ohm's Law. Understanding this relationship is fundamental in electrical circuits, especially in a series configuration where the total resistance is simply the sum of the individual resistances.

To determine the total resistance in a series circuit, you can use Ohm's Law, which states that voltage equals current multiplied by resistance (V = I × R). Rearranging this formula to solve for resistance gives you R = V / I.

In this scenario, the total voltage is 12 volts and the total current is 4 amps. Plugging these values into the rearranged formula, you get:

R = 12 volts / 4 amps = 3 ohms.

This calculation reveals that the total resistance in the circuit is 3 ohms, making the correct choice accurately reflect the result derived from the application of Ohm's Law. Understanding this relationship is fundamental in electrical circuits, especially in a series configuration where the total resistance is simply the sum of the individual resistances.