Which equation provides the amount of energy stored in an inductor?

Which equation provides the amount of energy stored in an inductor?

• A. energy = CV^2/2
• B. energy = I^2/R
• C. energy = LI^2/2
• D. energy = Q^2/2C

Answer: (C)

The equation that calculates the amount of energy stored in an inductor is given by the formula \( \text{energy} = \frac{1}{2} L I^2 \). In this equation, \( L \) represents the inductance of the inductor, measured in henries (H), and \( I \) is the current flowing through the inductor, measured in amperes (A). When current flows through an inductor, a magnetic field is created around the inductor. The energy stored in the inductor is related to the strength of this magnetic field, which depends on both the inductance and the amount of current. The factor of \( \frac{1}{2} \) comes from the integration of the power absorbed by the inductor over time, as power is not constant due to the changing current when the inductor is initially energized. Other formulas provided correspond to energy storage mechanisms in different fields. For example, the formula for energy stored in a capacitor is represented as \( \text{energy} = \frac{1}{2} C V^2 \), where \( C \) is capacitance and \( V \) is voltage. The second formula \( \text{energy} = \

The equation that calculates the amount of energy stored in an inductor is given by the formula ( \text{energy} = \frac{1}{2} L I^2 ). In this equation, ( L ) represents the inductance of the inductor, measured in henries (H), and ( I ) is the current flowing through the inductor, measured in amperes (A).

When current flows through an inductor, a magnetic field is created around the inductor. The energy stored in the inductor is related to the strength of this magnetic field, which depends on both the inductance and the amount of current. The factor of ( \frac{1}{2} ) comes from the integration of the power absorbed by the inductor over time, as power is not constant due to the changing current when the inductor is initially energized.

Other formulas provided correspond to energy storage mechanisms in different fields. For example, the formula for energy stored in a capacitor is represented as ( \text{energy} = \frac{1}{2} C V^2 ), where ( C ) is capacitance and ( V ) is voltage. The second formula ( \text{energy} = \