The total electromagnetic energy stored within a magnetic field is expressed by______________?
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Answer: C. LI2/2
Explanation
Total electromagnetic energy stored within an inductor magnetic field is calculated using the formula one half inductance times current squared. Mathematical derivation of magnetic field energy yields this exact quadratic relationship involving inductance and current. Multiplying one half by the inductance value and the squared current value gives the correct stored energy in joules. Inductors store energy in magnetic fields created by current flowing through wrapped coils of conductive wire. The factor of one half appears in magnetic energy formulas due to the linear integration of current over time. Joules serve as the standard international measurement unit for quantifying stored magnetic and electrical energy.
Omitting the one half factor doubles the calculated energy value and violates standard magnetic field integration rules. Placing the square on the inductance term rather than the current creates dimensionally incorrect energy equations. Multiplying current by squared inductance fails to match the established physical dimensions of stored magnetic energy.
- Subject
- Engineering
- Category
- Electrical Engineering
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- —
- Difficulty
- medium
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