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Related Concept Videos

Determining Electric Field From Electric Potential01:12

Determining Electric Field From Electric Potential

The electric field and electric potential are related to each other. If the electric field at various points in the region of interest is known, it can be used to calculate the electric potential difference between any two points. Similarly, if the electric potential is known for various points, then it is possible to calculate the electric field.
In general, regardless of whether the electric field is uniform, it points in the direction of decreasing potential because the force on a positive...
Calculations of Electric Potential I01:15

Calculations of Electric Potential I

Consider a ring of radius R with a uniform charge density λ. What will the electric potential be at point M, which is located on the axis of the ring at a distance x from the center of the ring?
The ring is divided into infinitesimal small arcs such that point M is equidistant from all the arcs. Here, the cylindrical coordinate system is used to calculate the electric potential at point M. A general element of the arc between angles θ and θ + dθ is of the length Rdθ and has a charge of λRdθ.
Calculations of Electric Potential II01:27

Calculations of Electric Potential II

An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
Finding Electric Potential From Electric Field01:13

Finding Electric Potential From Electric Field

For a system of charges, it is easy to calculate the system's potential because potential is a scalar quantity. However, in some instances where calculating the electric field is more straightforward than finding the potential, the electric field is used to calculate the system's potential. For a positive charge, the electric field is radially outward, and the potential is positive at any finite distance from the positive charge. In such an electric field, the motion away from the positive...
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...

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Related Experiment Video

Updated: Jun 8, 2026

Bringing the Visible Universe into Focus with Robo-AO
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Published on: February 12, 2013

Optical calculation of potential fields for robotic path planning.

M B Reid

    Applied Optics
    |September 24, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Optical computing generates potential-field maps for mobile robot navigation using a microchannel spatial light modulator. This method enables real-time calculations, offering a faster alternative to digital computation for robot path planning.

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    Operation of the Collaborative Composite Manufacturing (CCM) System

    Published on: October 1, 2019

    Area of Science:

    • Robotics
    • Optical Computing
    • Computational Science

    Background:

    • Mobile robot navigation relies on efficient path planning.
    • Potential-field methods are computationally intensive for real-time applications.
    • Existing methods face challenges in speed and scalability.

    Purpose of the Study:

    • To present experimental results of optical potential-field map calculation for mobile robot navigation.
    • To demonstrate the use of a microchannel spatial light modulator (MSLM) for optical computation.
    • To analyze the performance and scalability of optical computation compared to digital methods.

    Main Methods:

    • Utilized two write modes of a microchannel spatial light modulator (MSLM).
    • Employed spatial expansion in one MSLM mode to represent goal influence.
    • Used a non-expanding mode for writing distinct obstacle patterns.
    • Developed a model to derive optical calculation time for potential-field maps.

    Main Results:

    • Successfully generated potential-field maps using optical computation.
    • Achieved field calculations at several hertz with current technology.
    • Demonstrated favorable scaling of calculation time versus map size.
    • Showcased optical computation as a viable alternative to digital electronic computation.

    Conclusions:

    • Optical computation with MSLM is effective for generating potential-field maps for mobile robot navigation.
    • The proposed method offers significant speed advantages over digital computation.
    • Further development could enhance the capabilities for complex robotic environments.