Question

What is the inductor formula?

Answer 1

The formula for an inductor's behavior depends on the context. Here are some key formulas related to inductors:

1. Inductive Reactance (AC Circuit)

In an alternating current (AC) circuit, the inductive reactance (which is the opposition to current flow due to the inductor) is given by:

\[
X_L = 2\pi f L
\]

Where:

1. \( X_L \) = Inductive reactance (in ohms, \(\Omega\))
   

1. \( f \) = Frequency of the AC supply (in hertz, Hz)
   

1. \( L \) = Inductance of the coil (in henries, H)
   

2. Inductance (Self-Inductance)

The inductance of an inductor depends on its physical properties and is given by:

\[
L = \frac{\mu N^2 A}{l}
\]

Where:

1. \( L \) = Inductance (in henries, H)
   

1. \( \mu \) = Permeability of the core material (in henries per meter, H/m)
   

1. \( N \) = Number of turns in the coil
   

1. \( A \) = Cross-sectional area of the coil (in square meters, \(m^2\))
   

1. \( l \) = Length of the coil (in meters, m)
   

3. Voltage Across an Inductor (in a DC Circuit)

In a direct current (DC) circuit, the voltage across an inductor is related to the rate of change of current through it. This can be expressed as:

\[
V_L = L \frac{di}{dt}
\]

Where:

1. \( V_L \) = Voltage across the inductor (in volts, V)
   

1. \( L \) = Inductance (in henries, H)
   

1. \( \frac{di}{dt} \) = Rate of change of current with respect to time (in amperes per second, A/s)
   

These formulas describe how inductors behave in different types of circuits. Let me know if you need more details on any specific aspect!