Power fundamentals: Choose the best definition of electrical power in physics and electronics.

Difficulty: Easy

Correct Answer: the rate at which work is done

Explanation:


Introduction / Context:
Power connects energy and time. In circuits it determines heating, sizing of supplies, and efficiency. Knowing the correct definition helps relate formulas like P = V * I and P = I^2 * R back to physical meaning.


Given Data / Assumptions:

  • Standard physics definitions.
  • Energy measured in joules (J), time in seconds (s), power in watts (W).
  • Electrical work equals charge moved times potential difference.


Concept / Approach:
Power is the time rate of doing work or transferring energy. Mathematically: P = dW/dt or P = dE/dt. In steady DC circuits, it reduces to algebraic forms like P = V * I because work per unit charge is V and charge per unit time is I.


Step-by-Step Solution:

Start from definition: P = dE/dt.For electrical systems: E transferred each second by current at voltage V equals V * I.Relate to other forms: P = I^2 * R or P = V^2 / R derived from Ohm’s law.


Verification / Alternative check:
Unit analysis: V * A = (J/C) * (C/s) = J/s = W, confirming consistency.


Why Other Options Are Wrong:

  • Work: That is energy, not its time rate.
  • Conversion of energy: Too vague; power quantifies the rate of conversion.
  • Joules: A unit of energy, not power.


Common Pitfalls:
Confusing energy with power; using watt-hours (energy) when watts (power) are intended.


Final Answer:
the rate at which work is done

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