Inductor Basics and Energy Storage

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Questions and Answers

What is the unit of an inductor?

  • Henry (correct)
  • Volts
  • Hertz
  • Joules

An inductor behaves like an open circuit when provided with a DC supply.

False (B)

What is the formula for the energy stored in an inductor?

W = 1/2 * LI^2

The voltage across an inductor is given by the equation V = -L * ______

<p>di/dt</p> Signup and view all the answers

Match the following terms related to inductors with their descriptions:

<p>P = Power in an inductor W = Energy stored in an inductor V = Voltage across an inductor I = Current through an inductor</p> Signup and view all the answers

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Study Notes

Inductor Basics

  • Inductors are energy-storing elements that store energy in the form of an electromagnetic field.
  • Symbolic notation for an inductor is represented simply as "L".
  • When connected to a DC supply, an inductor acts like a short circuit.

Measurement and Formulae

  • The unit of inductance is the Henry (H).
  • Voltage across an inductor can be expressed as ( V = -L \frac{di}{dt} ), where ( L ) is inductance and ( \frac{di}{dt} ) is the rate of change of current.

Power and Energy in Inductors

  • Power in an inductor is calculated using the formula ( P = Vi ), where ( P ) is power, ( V ) is voltage, and ( i ) is current.
  • Energy stored in an inductor can be derived using ( W = P \cdot x \cdot t ) where ( W ) is energy, ( P ) is power, ( x ) is distance, and ( t ) is time.
  • Energy can also be expressed as ( W = \int_{0}^{t} I \cdot \frac{di}{dt} ), emphasizing the integration of the current over time.
  • The energy stored in an inductor is calculated as ( W = \frac{1}{2} LI^2 ). This illustrates that energy is proportional to the inductance and the square of the current.

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