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miss photon
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will there be any current in a circuit with an ideal dc battery and an ideal inductor?
chroot said:Yes. The inductor is fundamentally just a piece of wire, after all. It is essentially a short circuit at dc.
- Warren
miss photon said:L di/dt=V( by Kirchoffs law).this would mean current is forever increasing infinitely. is this practically possible?
miss photon said:L di/dt=V( by Kirchoffs law).this would mean current is forever increasing infinitely. is this practically possible?
The relationship between DC battery and ideal inductor circuit current is defined by Ohm's Law, which states that the current flowing through a circuit is directly proportional to the voltage and inversely proportional to the resistance. In an ideal inductor circuit, the inductor behaves like a short circuit to DC current, meaning that the current will flow through the circuit without any resistance. This results in a constant current flow from the battery to the inductor.
In a DC circuit, an ideal inductor behaves like a short circuit, allowing the current to flow through it without any resistance. This is because inductors oppose changes in current, and in a DC circuit, there is no change in current. Therefore, an ideal inductor will have zero impedance to DC current, resulting in a constant current flow.
A DC battery will provide a constant voltage to an ideal inductor, causing a constant current flow through the inductor. This current will continue to flow until the battery is disconnected or the circuit is broken. The battery's voltage will determine the strength of the magnetic field created by the inductor, which in turn affects the inductor's behavior in the circuit.
Yes, an ideal inductor can store energy in a DC circuit. When the current flows through an inductor, it creates a magnetic field around the inductor. This magnetic field stores the energy from the current, and when the current is interrupted, the magnetic field collapses, releasing the stored energy back into the circuit.
In a DC circuit with an ideal inductor, the current will initially rise rapidly, as there is no resistance to slow it down. However, as the magnetic field builds up around the inductor, the current will eventually reach a steady state. If the circuit is interrupted, the current will decrease rapidly as the magnetic field collapses, releasing the stored energy back into the circuit. The current will then return to zero, and the cycle will repeat when the circuit is closed again.