The inductor is the electrical dual to the capacitor so we have and thus the inductor current must be continuous and so the current cannot discontinuously change. A lr series circuit consists basically of an inductor of inductance l connected in series with a resistor of resistance r.
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As an inductor works as a load during the charging phase and works source in the discharging phase.
Charging discharging inductor equation. But instead the inductors magnetic field now acts as a charge pump and forces the capacitor into the negative region well past zero. Therefore the direction voltage across the inductor changes as per the kvl. The switch is closed and charge flows out of the capacitor and hence a current flows through the inductor.
The resistance r is the dc resistive value of the wire turns or loops that goes into making up the inductors coil. The inductor initially has a very high resistance as energy is going into building up a magnetic field. Inductor charging current equation itfracvsrleft 1 e left fracrlt right right for 0t1 we will use above mentioned equation to find the current through an inductor.
In a tank circuit a capacitor fully discharges across an inductor until it reaches a voltage of essentially 0. Acting in accordance with faradays law and lenzs law the amount of impedance to the buildup of current is proportional to the rate of change of the current. Thus while the electric field in the capacitor diminishes the magnetic field in the inductor grows and a back electromotive force emf is induced in the inductor.
If the inductor is initially uncharged and we want to charge it by inserting a voltage source v s in the rl circuit. Instead the slope of the current changes discontinuously from increasing the inductor is charging to decreasing the inductor is discharging and. Once the magnetic field is up and no longer changing the inductor acts like a short circuit.
If it werent for the charged inductor all movement in the circuit would stop at this point. Inductor transient when a battery is connected to a series resistor and inductor the inductor resists the change in current and the current therefore builds up slowly. And the direction of the current flow in inductor remains the same.
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