A hydraulic inductor is a water wheel connected through a rigid axle to a heavy stone flywheel. Applying pressure to the inductor presses water against the paddles of the water wheel. This starts the turning of the water wheel and the connected flywheel. As pressure is applied over time, the flywheel gradually turns faster and faster. Once the flywheel is turning, it tends to keep turning even when the pressure is removed, keeping the water flowing at a constant speed in the absence of outside forces.
See related website: ataridogdaze.com/science/hydraulic/inductor-hydraulic.html
The momentum of the flywheel is proportional to the flow rate:
Momentum = Inductance x Flow Rate
Consider change over time:
(change in Momentum over time) = Inductance x (change in Flow Rate over time)
The change in momentum over time is the pressure applied:
Pressure = Inductance x (dF/dt)
where dF/dt means the change in flow rate over time (units: liters per second per second).
An electronic inductor is a coil of wire wrapped around a cylindrical core. Applying a voltage to the inductor causes magnetic flux to build up in the coil. Magnetic flux is just like the momentum of the flywheel in the hydraulic inductor. As the voltage is applied over time, the magnetic flux gradually gets larger and larger. Once the magnetic flux is built up, it tends to keep the current flowing even when the voltage source is removed, keeping the current constant in the absence of outside forces.
The magnetic flux is proportional to the current through the coil:
Flux = Inductance x Current
Consider change over time:
(change in Flux over time) = Inductance x (change in Current over time)
The change in flux over time is the voltage applied (per Maxwell's equations):
Voltage = Inductance x (di/dt)
where di/dt means the change in current over time (units: coulombs per second per second, or amps per second).
The energy stored in an inductor is:
1/2 x Inductance x (Flow Rate) x (Flow Rate) (hydraulic)
1/2 x Inductance x Current x Current (electronic)
This is one of several videos on electric circuits and the hydraulic analogy:
1. Introduction: Charge, Voltage, and Current; ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Lvp_a_JkD2o.html
2. Force, Energy, and Power, ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-2iuauEu2wJM.html
3. Resistor Behavior, ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-iN0OgjyDhlI.html
4. Capacitor Behavior, ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3L0E9fGI3ag.html
5. Inductor Behavior (this video)
6. Inductor-Capacitor (L-C) Oscillator, ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-0e03xw_GVyE.html
8 апр 2018
