Physics problem asking to find the energy stored in an inductor after the switch has been closed for a while. A long time after the switch is closed the circuit reaches a steady state.
Three Resistors R1 120 Ohms R2 330 Ohms And R3 240
Lecture 27 Inductors Stored Energy Lr Circuits
The Switch In Figure Is Closed At Time T 0 Find The Current In The Inductor And The Current Through The Switch As Functions Of Time Thereafter
Consider an ideal inductor that is an inductor with no internal resistance.
Inductor switch closed long time. As the current ramps up from zero the magnetic field builds in strength. Assume that the switch s is open until it is closed at a time t 0 and then remains permanently closed producing a step response type voltage input. Umj umj this problem has been solved.
The above lr series circuit is connected across a constant voltage source the battery and a switch. In general in an rl circuit closing the switch will create a current which goes from zero to a peak current at approximately 5 time constants. The current induces a voltage over the inductor which leads the current by 90 degrees.
What is the energy stored in the inductor in the link to the figure below after the switch has been closed for a very long time. Assuming the inductor in this circuit has the value l 77 mh how much energy is stored in the inductor after the switch has been closed a long time. You could also say that the inductor current lags voltage by 90 degrees.
This means that the inductor acts like an open circuit so all the voltage is across the inductor. When the switch is first closed the voltage across the inductor will immediately jump to battery voltage acting as though it were an open circuit and decay down to zero over time eventually acting as though it were a short circuit. An emf of 150 v is measured across the inductor during a 200 ms span when the current through the inductor increases steadily from 100 a to 400 a.
When the switch is first closed the current through the inductor is zero because it cannot change instantaneously.
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