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Related Concept Videos

Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current Loop

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Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
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Magnetic Force On Current-Carrying Wires: Example01:22

Magnetic Force On Current-Carrying Wires: Example

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In a magnetic field, moving charges encounter a force. If a wire contains these moving charges, i.e., if the wire is carrying a current, then a force acts on the wire as well. Consider a pair of flexible leads holding a wire that is 40 cm long and 10 g in weight in a horizontal position. The wire is placed in a constant magnetic field of 0.40 T, as shown in Figure 1(a). Determine the magnitude and direction of the current flowing in the wire needed to remove the tension in the supporting leads.
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Magnetic Force Between Two Parallel Currents01:13

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Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the current direction in the conductors.
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and  the vector product of the length vector along the current element and the field due to the first conductor. According to the...
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Magnetic Force On A Current-Carrying Conductor01:25

Magnetic Force On A Current-Carrying Conductor

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Moving charges experience a force in a magnetic field. Since the magnetic fields produced by moving charges are proportional to the current, a conductor carrying a current creates a magnetic field around it.
Consider a compass placed near a current-carrying wire. The wire experiences a force that aligns the needle of the compass tangentially around the wire. Thus, the current-carrying wire produces concentric circular loops of magnetic field. The magnetic field generated by a wire can be...
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Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

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The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx  and a shunt capacitance CΔx.
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Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

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Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.
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Evolution of Staircase Structures in Diffusive Convection
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Random walk with horizontal and cyclic currents.

Joanna Li1,2, Matthew Gerry1, Israel Klich3

  • 1University of Toronto, Department of Physics, 60 Saint George St., Toronto, Ontario M5S 1A7, Canada.

Physical Review. E
|February 20, 2025
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Summary
This summary is machine-generated.

Fluctuations in a minimal two-chain random walk model reveal its structure and nonequilibrium conditions. Analyzing currents and cumulants helps understand transport properties in various systems.

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Area of Science:

  • Statistical Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Understanding transport phenomena in coupled systems is crucial for fields like materials science and cellular biology.
  • Characterizing nonequilibrium conditions and system parameters often relies on macroscopic observables, but microscopic fluctuations can offer deeper insights.

Purpose of the Study:

  • To investigate how fluctuations and higher-order cumulants of transport in a minimal two-chain random walk model provide information about its structure, parameters, and nonequilibrium nature.
  • To explore the utility of these observables in both steady-state and transient regimes.

Main Methods:

  • Construction of a minimal two-chain random walk model with horizontal and cyclic transport.
  • Derivation of the cumulant generating function to characterize transport in the long-time limit.
  • Analysis of current fluctuations and higher-order cumulants under various conditions, including zero horizontal current.
  • Simulations of transport dynamics before steady state is reached.

Main Results:

  • Horizontal or cyclic currents and their cumulants can uniquely identify model structure and parameters.
  • Fluctuations of the horizontal current signal nonequilibrium conditions, even when the average current is zero.
  • Entropy production rate is effectively lower-bounded by relative noise in cyclic or horizontal currents near the zero horizontal current limit.
  • Interchain hopping rates can be extracted from transient transport simulations.

Conclusions:

  • Fluctuations in transport phenomena contain rich information about the underlying system dynamics and parameters.
  • The developed model and analysis framework offer a powerful tool for characterizing complex transport systems.
  • Potential applications span chemical networks, biological processes, and advanced materials for charge and energy transport.