How is a memristor different from a resistor

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SUMMARY

The memristor is fundamentally different from a resistor due to its variable resistance, described by the equation dφ=Mdq. While Ohm's law states V=RI, where R is constant, the memristor's constant M changes with the charge flow, making it a function of time. This distinction highlights that the memristor does not maintain a constant resistance like traditional resistors, inductors, and capacitors. The concept of the memristor was first predicted by Leon O. Chua in 1971, emphasizing its unique properties in electrical circuits.

PREREQUISITES
  • Understanding of Ohm's Law and its application in electrical circuits
  • Familiarity with the fundamental components of electrical engineering: resistors, inductors, and capacitors
  • Knowledge of differential equations as they apply to electrical systems
  • Awareness of the historical context of memristor theory, particularly Leon O. Chua's work
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  • Research the mathematical modeling of memristors and their applications in circuit design
  • Explore the implications of variable resistance in memristor technology
  • Study the historical development of memristor theory and its impact on modern electronics
  • Learn about practical applications of memristors in neuromorphic computing and memory storage
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Electrical engineers, researchers in circuit design, students studying advanced electronics, and professionals interested in the future of memory technologies will benefit from this discussion.

iampaul
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I read that the memristor is described by the equation dφ=Mdq. If both sides are divided by dt, then dφ/dt=Mdq/dt.
But dφ/dt=V and dq/dt=I. Then V=MI which is ohm's law. Isn't the constant M just the same as resistance?
 
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M is a function of charge flown (and therefore a function of time as well), that is the point of the memristor. A resistor would have a constant M.

(Mdq)/dt is not the same as M(dq/dt).
 
So M is not a constant unlike R, L, and C? I read that the memristor was predicted due to the symmetry of the equations for R, L and C. If M is not constant with respect to time, doesn't that make the memristor the odd one out o the four, so that there is still no symmetry?
 
M is not the constant. The constant is how M changes with charge, in the similar way as the voltage at a capacitor changes with charge.
 

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