Total resistance in a parallel circuit is described as what?

Total resistance in a parallel circuit is described as what?

• A. Increasing
• B. Decreasing
• C. Equal to the sum of resistances
• D. Constant

Answer: (B)

In a parallel circuit, the total resistance decreases as more resistive branches are added. This behavior can be understood through the principles of how resistors interact in parallel configurations. When resistors are connected in parallel, the total or equivalent resistance is determined using the formula: 1/RT = 1/R1 + 1/R2 + 1/R3 + ... This relationship shows that the total resistance (RT) is always less than the smallest individual resistor connected in parallel. Each additional parallel resistor provides an additional path for current to flow, effectively reducing the overall resistance. Therefore, as more components are added to the circuit in parallel, the overall resistance decreases, which allows for greater current flow in the circuit. Consequently, the answer indicating that the total resistance is decreasing accurately captures this characteristic of parallel circuits.

In a parallel circuit, the total resistance decreases as more resistive branches are added. This behavior can be understood through the principles of how resistors interact in parallel configurations. When resistors are connected in parallel, the total or equivalent resistance is determined using the formula:

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

This relationship shows that the total resistance (RT) is always less than the smallest individual resistor connected in parallel. Each additional parallel resistor provides an additional path for current to flow, effectively reducing the overall resistance. Therefore, as more components are added to the circuit in parallel, the overall resistance decreases, which allows for greater current flow in the circuit.

Consequently, the answer indicating that the total resistance is decreasing accurately captures this characteristic of parallel circuits.