Two resistors of resistances 10 Ωand 20 Ωare joined in parallel. A potential difference of 12 V

step 1 Okay, the question is two resistors of resistance 10 omm and 20 omer join in parallel a potentia

Two resistors of resistances 10 Ωand 20 Ωare joined in...

Two resistors of resistances $10 \Omega$ and $20 \Omega$ are joined in parallel. A potential difference of $12 \mathrm{~V}$ is applied across the combination. Find the power consumed by each resistor.

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Key Concepts

Power Consumption in Resistive Circuits

Electrical power in a resistor is the rate at which energy is consumed or dissipated as heat. It is calculated using formulas such as P = V^2 / R or P = I^2 × R. Understanding how to compute power consumption is important for assessing energy efficiency and ensuring components operate within safe limits.

Parallel Circuit Analysis

In a parallel circuit, components are connected so that the voltage drop across each component is the same, while the total current is the sum of the currents through each component. This configuration allows each resistor to independently carry a portion of the overall circuit current, making it crucial for determining current distribution and overall circuit behavior.

Ohm's Law

Ohm's Law is a fundamental principle in electrical circuits that establishes the relationship between voltage (V), current (I), and resistance (R). It states that the voltage across a resistor is directly proportional to the current flowing through it, expressed by the formula V = I × R. This concept is essential for analyzing circuit behavior and calculating unknown electrical quantities.

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