When the switch is first closed, the current through the inductor is zero, because it cannot change instantaneously. This means that the inductor acts like an open circuit, so all the voltage is across the inductor. When this happens, the current is no longer changing, so the voltage across the inductor is zero.
What is inductor and its formula?
The inductance value is represented as L and its unit is Henry. One Henry value is equivalent to the induced one volt by changing of current in one ampere per second in an inductance value. The inductance value is of two types. One is the mutual inductance and another one is self-inductance.
What is the voltage across an inductor at t 0?
As soon as the switch is closes at t=0+, the inductor acts as an open circuit, hence the current in the circuit is zero. Since the current in the circuit is zero, there is no voltage drop across the resistor and the voltage across the inductor is equal to the supply voltage, which is equal to 60V.
What is the current at T 0?
At t=0-, the inductor current (I) is zero. At t=0+, the current must also be zero since current through an inductor cannot change instantaneously.
What is inductor current?
An inductor, also called a coil, choke, or reactor, is a passive two-terminal electrical component that stores energy in a magnetic field when electric current flows through it. An inductor is characterized by its inductance, which is the ratio of the voltage to the rate of change of current.
How do you calculate current inductance?
In inductors, voltage leads current by 90 degrees. 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.
How do you calculate total current?
What is the formula for a total current? IT = VT/RT or I total = V total / R total or the total current = the total voltage / the total resistance.
What does it mean when an inductor has zero voltage?
Zero voltage means an inductor with constant current looks like a short circuit, the same as a plain wire. Even if the current really big, like , if it is constant, the voltage across the inductor is still volts. Now let’s connect an inductor to an ideal constant voltage source and see what the inductor equation tells us.
What is the inductor equation?
So, we know that the Inductor Equation is the voltage across an inductor is a factor called L, the inductance, times di, dt. So the voltage is proportional to the slope or the rate of change of current. Let me do a quick review of the two letters that are used as variables for inductors.
How do you find the current across an inductor?
The current across an inductor is equal to the integral of the voltage across the inductor multiplied by the inverse of the inductance plus whatever initial current there was flowing across the inductor. If there was no initial current flowing through the inductor, then I0 is equal to 0.
What does di/dt mean in an inductor equation?
Now we have an inductor with its i – v equation: hinSpace v = L dtdi. This tells us the voltage across the inductor is proportional not to current but rather the rate of change of current through the inductor. That’s what di/dt means.
