Energy vs. Power–Voltage Relationship Evaluate the statement: “Energy is equal to power multiplied by voltage.”

Introduction / Context:
Differentiating correctly between energy, power, voltage, and current prevents dimensional mistakes in design. This statement mixes quantities with incompatible units, making it a classic check on fundamental definitions.

Given Data / Assumptions:

• Energy W measured in joules or watt-hours.
• Power P measured in watts; voltage V in volts.
• Time t measured in seconds or hours.

Concept / Approach:

By definition, energy equals power times time: W = P * t. Power itself is the rate of energy transfer and equals voltage times current (for instantaneous values), P = V * I (for DC) or P = V_rms * I_rms * power_factor (for AC). Multiplying power and voltage yields units of volt-watts, which is dimensionally incorrect for energy.

Step-by-Step Solution:

Verification / Alternative check:

Electricity billing uses kWh (kilo-watt-hour), not “kW·V.” Work examples confirm: a 100 W load for 1 hour consumes 100 Wh = 0.1 kWh, aligning with W = P * t.

Why Other Options Are Wrong:

Conditional “true” statements remain wrong because the base dimensional relationship is incorrect even for resistive or unity power-factor loads.

Common Pitfalls:

Confusing power equations with energy equations, and forgetting to include time when converting power usage to energy consumed.

Final Answer:

False