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Induced Electric Fields

Induced Electric Fields

The fact that emfs are induced in circuits implies that work is being done on the conduction electrons in the wires. What can possibly be the source of this work? We know that it’s neither a battery nor a magnetic field, as a battery does not have to be present in a circuit where current is induced, and magnetic fields never do any work on moving charges. The source of the work is in fact an electric field that is induced in the wires. For example, if a stationary conductor is placed in a...

Induced Electric Fields: Applications

Induced Electric Fields: Applications

An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...

Electromagnetic Waves

Electromagnetic Waves

James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his theory predicted “Electromagnetic waves”. He brought together all the work that had been done by brilliant physicists such as Oersted, Coulomb, Gauss, and Faraday and added his own insights to develop the overarching theory of electromagnetism. Maxwell’s equations, combined with the Lorentz force law, encompass all the laws of electricity and...

Electric Field of a Charged Disk

Electric Field of a Charged Disk

The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...

Electric Field of Parallel Conducting Plates

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Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the electric field and the charge enclosed in a region depending on its charge distribution.
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...

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Related Experiment Video

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Electric Field-controlled Directed Migration of Neural Progenitor Cells in 2D and 3D Environments

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Published on: February 16, 2012

Hierarchical structure formation and pattern replication induced by an electric field.

Mihai D Morariu¹, Nicoleta E Voicu, Erik Schäffer

¹Department of Polymer Chemistry and Materials Science Center, University of Groningen, Nijenborgh 4, NL-9747 AG Groningen, Netherlands.

Nature Materials

|March 26, 2003

Summary

This study introduces a new soft lithography method for simultaneously patterning multiple materials. The technique uses polymer bilayers and electrohydrodynamic instabilities to create complex, high-resolution structures down to 100 nanometers.

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Area of Science:

Materials Science
Nanotechnology
Soft Lithography

Background:

Traditional lithography often involves single-layer photoresist patterning, limiting control over multi-component arrangements.
Multi-step iterative procedures for complex patterning are common but reduce reliability and increase complexity.

Purpose of the Study:

To develop a novel lithography technique for simultaneous multi-material processing.
To enable the creation of hierarchic lateral structures with independent characteristic dimensions.
To achieve high-resolution patterning with potential for large-area applications.

Main Methods:

Utilized a bilayer of two different polymers.
Exploited electrohydrodynamic instabilities at polymer surfaces.
Employed lateral modulation of the electric field for precise pattern control.

Main Results:

Successfully created hierarchic lateral structures with two independent characteristic dimensions.
Achieved replication resolution down to 100 nanometers.
Demonstrated simultaneous processing of multiple materials in a single step.

Conclusions:

The described method offers a simplified strategy for complex, multi-material lithography.
This approach facilitates sub-100-nanometer lithography over large areas.
The technique holds promise for advanced microfabrication and nanotechnology applications.