Which of the following relations is right when resistors are in Parallel arrangement in a circuit?

The correct answer is 2) 1/R = 1/R1 + 1/R2 + 1/R3

Key Points

• When resistors are connected in parallel, the reciprocal of the equivalent resistance (1/R) is equal to the sum of the reciprocals of the individual resistances (1/R1, 1/R2, 1/R3, ...).
• In a parallel circuit, the voltage across each resistor is the same.
• Parallel resistors provide multiple paths for the current to flow, reducing the overall resistance.
• Parallel circuits are commonly used in household wiring to ensure that each device operates independently.

Important Points

• The total resistance in a parallel circuit is always less than the smallest individual resistor.
• In parallel circuits, if one resistor fails, the remaining resistors continue to function.
• Ohm’s Law (V = IR) applies to each branch of a parallel circuit independently.