What is the formula for reactance of an inductor?
What is the formula for reactance of an inductor?
The formula for calculating the inductive reactance of a coil is: inductive reactance, or XL, is the product of 2 times p (pi), or 6.28, the frequency of the ac current, in hertz, and the inductance of the coil, in henries. XL =2p x f x L.
What is inductor Laplace transform?
The Laplace domain representation of an inductor with a nonzero initial current. The inductor becomes two elements in this representation: a Laplace domain inductor having an impedance of sL, and a voltage source with a value of Li(0) where i(0) is the initial current.
What is jwL in electrical engineering?
jwL is useful to solve sinusoidal excited circuit at steady state. To get transient solution and also excited sourceses other than sinusoidal one has to use Laplace transform. That is sL comes.
What is reactance of an inductor What is unit of reactance?
reactance, in electricity, measure of the opposition that a circuit or a part of a circuit presents to electric current insofar as the current is varying or alternating. Capacitive reactance has units of ohms. (The unit of capacitance is farad.)
Why do we use Laplace transformation?
The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms linear differential equations into algebraic equations and convolution into multiplication.
Why do we use Laplace transform in electrical engineering?
Laplace Transform is widely used by electronic engineers to solve quickly differential equations occurring in the analysis of electronic circuits. 2. Laplace Transform is used to simplify calculations in system modeling, where large number of differential equations are used.
Why is the impedance of inductor jwL?
An inductor consists of a large number of coils of wire. When the current i flowing through an inductor changes, the associated magnetic field changes and produces a voltage v across the inductor which is proportional to the rate of change of the current. Hence v/i = jwL is the impedance of the inductor.
What is Laplace transform explain the advantages of Laplace transform?
They transform higher order differential equation into a polynomial form which is far easy than solving differential equation directly. The major advantage of Laplace transform is that, they are defined for both stable and unstable systems whereas Fourier transforms are defined only for stable systems.