A micromachined insulating cantilever beam has a charge at...

A micromachined insulating cantilever beam has a charge at the tip of the beam of $6.5 \mathrm{pC}$. The substrate located 4 microns $(1$ micron $=$ $1 \mu=1 \times 10^{-6}$ meter) under the beam has a mirror charge of $-6.5 \mathrm{pC}$. What is the magnitude of the force pulling down on the tip of the beam?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Coulomb's Law

Coulomb's Law is a fundamental principle in electromagnetism that quantifies the electrostatic force between two point charges. This law states that the force is directly proportional to the product of the two charges and inversely proportional to the square of the distance separating them, with the proportionality constant being Coulomb's constant. It provides the basis for analyzing forces in systems with electric charges.

Image Charge Method

The image charge method is a mathematical technique used in electrostatics to simplify the analysis of the effects of conductive surfaces on nearby charge distributions. By replacing the conductive surface with an equivalent 'image' charge, one can easily calculate the resulting electric field and force without directly dealing with the complexities of induced charge distributions on the conductor.

Electrostatic Force Calculation

Electrostatic force calculation involves determining the force between charged objects by combining concepts such as Coulomb's Law and, when relevant, the image charge method for conductive interfaces. This process is essential in fields like microelectromechanical systems (MEMS) and other applications where precise control of small-scale forces is required.

Transcript

Please give Ace some feedback