Memristor (2)

The memristor is formally defined Noting from Faraday’s law of induction that magnetic flux is simply the time integral of voltage, | |

It can be inferred from this that memristance is simply charge-dependent resistance. If This equation reveals that memristance defines a linear relationship between current and voltage, as long as Furthermore, the memristor is static if no current is applied. If The power consumption characteristic recalls that of a resistor, As long as Magnetic flux in a passive device In circuit theory, magnetic flux Φ This notion may be extended by analogy to a single passive device. If the circuit is composed of passive devices, then the total flux is equal to the sum of the flux components due to each device. For example, a simple wire loop with low resistance will have high flux linkage to an applied field as little flux is “induced” in the opposite direction. Voltage for passive devices is evaluated in terms of energy Observing that Φ Two unintuitive concepts are at play: - Magnetic flux is generated by a resistance in opposition to an applied field or electromotive force. In the absence of resistance, flux due to constant EMF increases indefinitely. The opposing flux induced in a resistor must also increase indefinitely so their sum remains finite.
- Any appropriate response to applied voltage may be called “magnetic flux.”
The upshot is that a passive element may relate some variable to flux without storing a magnetic field. Indeed, a memristor always appears instantaneously as a resistor. As shown above, assuming non-negative resistance, at any instant it is dissipating power from an applied EMF and thus has no outlet to dissipate a stored field into the circuit. This contrasts with an inductor, for which a magnetic field stores all energy originating in the potential across its terminals, later releasing it as an electromotive force within the circuit. |