What happens to the total resistance in a parallel circuit?

What happens to the total resistance in a parallel circuit?

• A. The total resistance remains the same
• B. The total resistance increases
• C. The total resistance decreases
• D. The total resistance doubles

Answer: (C)

In a parallel circuit, the total resistance decreases as more resistors are added. This occurs because each additional resistor provides an alternative path for current to flow. In parallel configurations, the total or equivalent resistance (R_total) can be calculated using the formula: 1/R_total = 1/R1 + 1/R2 + 1/R3 + ... This means that the reciprocal of the total resistance is the sum of the reciprocals of each individual resistance. As more resistors are included, the sum of the reciprocals increases, which in turn decreases the value of the total resistance. For instance, if you have two resistors in parallel, the combined resistance will always be less than the smallest individual resistance. Therefore, as you continue adding resistors in parallel, you effectively create more pathways for the current, thus lowering the overall resistance in the circuit. This principle is key in understanding how parallel circuits function and is critical in applications where lower resistance is beneficial, such as in power distribution systems.

In a parallel circuit, the total resistance decreases as more resistors are added. This occurs because each additional resistor provides an alternative path for current to flow. In parallel configurations, the total or equivalent resistance (R_total) can be calculated using the formula:

1/R_total = 1/R1 + 1/R2 + 1/R3 + ...

This means that the reciprocal of the total resistance is the sum of the reciprocals of each individual resistance. As more resistors are included, the sum of the reciprocals increases, which in turn decreases the value of the total resistance.

For instance, if you have two resistors in parallel, the combined resistance will always be less than the smallest individual resistance. Therefore, as you continue adding resistors in parallel, you effectively create more pathways for the current, thus lowering the overall resistance in the circuit. This principle is key in understanding how parallel circuits function and is critical in applications where lower resistance is beneficial, such as in power distribution systems.