Two electirc bulbs whose resistances are in the ratio of 1:...

Two electirc bulbs whose resistances are in the ratio of $1: 2$ are connected in parallel to a constant voltage source the power dissipated in them have the ratio.
(A) $1: 2$
(B) $1.1$
(C) $2: 1$
(D) $1: 4$

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Key Concepts

Power Dissipation in Resistive Circuits

The power dissipated by a resistor in a circuit is given by the formula P = V²/R when connected to a constant voltage source. This concept explains how, for a fixed voltage, the power is inversely proportional to the resistance: a lower resistance dissipates more power and vice versa.

Parallel Circuits

In parallel circuits, all components are connected across the same potential difference, meaning that each element experiences the same voltage regardless of its individual resistance. This characteristic is key when comparing the power dissipated in resistors placed in parallel, as their power consumption depends solely on their resistance.

Ohm's Law

Ohm's Law establishes the fundamental relationship between voltage, current, and resistance in an electrical circuit. It indicates that the current through a resistor is directly proportional to the voltage across it and inversely proportional to its resistance, a principle that is essential for analyzing electrical circuits.

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