1. An inductor is in a circuit by itself; the current flows from a to b and is i
ID: 1467308 • Letter: 1
Question
1. An inductor is in a circuit by itself; the current flows from a to b and is increasing. vab is positive / negative (circle one).
2. An inductor is in a circuit by itself; the current flows from a to b and is decreasing. vab is positive / negative (circle one).
3. The energy stored in an inductor is stored in what?
4. For an R-L circuit, how does the current behave as a function of time when the inductor has an increasing current through it?
5. For an R-L circuit, how does the current behave as a function of time when the inductor has an decreasing current through it?
6. What does the oscillation frequency depend on in an L-C circuit
7. For the underdamped L-R-C circuit, describes what happens to the amplitude of the charge on the capacitor as the circuit oscillates.
Explanation / Answer
answer 1,2,3)
Inductance (also called self-inductance) is the property of a circuit or circuit element to delay the change in current passing through it. The delay is accompanied by absorption or release of energy associated with the change in magnitude of the magnetic field surrounding the conductors.
In any circuit, all magnetic flux around the conductors that carry current in the same direction passes through the window formed by the circuit.
When the switch closes an electrical circuit, the increase in the circuit current causes an increase in flow. The change of flux generates a voltage in the circuit that opposes the current change.
This action of opposition is a manifestation of Lenz's law in which any voltage induced magnetic always generated in such a direction that opposes the action that causes it.
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answer 4)
the current increase over time, the change will be positive (dI / dt) and voltage will be negative to be a drop of it in the inductor.
According to Kirchhoff: V = (IR) + [L (dI / dt)]
IR = voltage drop across the resistance
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Answer 5)
For a time equal to zero, the current starts to grow and the inductor also produce an electromotive force in the opposite direction, which current will not increase. This is known as back emf.
This emf is given by: V = L (inductance) dI / d
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answer 6)
When a capacitor connected to an inductor, both current and charging the capacitor varies den. When there is resistance, there is a dissipation of energy in the system because how much is converted into heat in the resistance, therefore the oscillations are damped. At the moment, the resistance is ignored
At a time zero, the charge on the capacitor is high and the energy stored in the electric field between the plates is U = Q2máx / (2C). After a time equal to zero, the current in the circuit begins to increase and some of the energy in the capacitor is transferred to the inductor. When the charge stored in the capacitor is zero, the current is maximal and all energy is stored in the electric field of the inductor. This process is repeated in reverse and thus begins to oscillate.
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answer 7)
for circuit damped the very nature of the resolution governing the behavior of the circuit which is a solution with complex roots it generates that as time elapses t amplitude decreases devido part of the tencion is dicipida so the aplitudIt decriciendo going even if their rate remains constant
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