Essential AC Circuit Analysis & Formulas
1. Understanding RMS Values in AC Circuits
The RMS (Root Mean Square) current value of an alternating current is defined as the equivalent direct current that produces the same heating effect. This equivalence allows the use of DC calculation methods for alternating current circuits.
Since instantaneous values of current and voltage are variable, RMS values are used to represent these magnitudes in a way that is useful over time. RMS values are practical for measurements in AC circuits and are commonly
Read MoreGalileo Galilei: Architect of Modern Scientific Thought
Galileo Galilei: A Pioneer of Modern Science
Galileo Galilei (1564-1642) is considered one who took the final step towards modern science. Born in Pisa, he studied at the University of that city, where he became a teacher of mathematics. In 1592, he became a professor of the same subject in Padua, already famous for his scientific discoveries. In 1597, he wrote a letter to Kepler expressing support for Copernicus. In 1609, he developed his theory of uniformly accelerated motion and built a telescope.
Read MorePrinciples of Spectrometry and Light-Matter Interaction
Introduction to Spectrometry
Frequency: The frequency of light is a fundamental property in spectrometry.
Color: The color of light is determined by its wavelength, which is crucial for understanding absorption.
Spectrometry Fundamentals
Spectrometry involves the measurement of the quantity of energy transmitted through a sample. This radiant energy is typically monochromatic radiation of a single wavelength, or for practical reasons, a very narrow band of wavelengths. The measurement of the transmitted
Read MoreFluid Mechanics Fundamentals: Key Concepts & Devices
Fluid Mechanics Fundamentals
Venturi Meter: Flow Rate Measurement
A Venturi meter is a device used to measure the flow rate of an incompressible fluid in a pipe. It operates on the principle of Bernoulli’s equation, creating a pressure differential by gradually constricting the flow area (throat) and then gradually expanding it back. The pressure drop across the throat is directly related to the fluid’s velocity and, consequently, its flow rate. Its smooth contours minimize energy losses.
Orifice Meter:
Read MoreFundamental Forces & Quantum Physics Principles
Radioactivity: Biological Effects & Applications
For millions of years, living things have withstood the natural radioactivity of the Earth’s crust and cosmic rays. Exposure to high doses of radiation at increased rates can cause cancer and other genetic disorders. The degree of danger of an isotope depends on the type of radiation emitted, its energy, and its half-life.
Degree of Danger to Humans:
- External Exposure: If the radiation source is outside the body, gamma rays are the most dangerous.
Fundamental Concepts in Physics and Biology
Physics Fundamentals
Optics: Formulas and Definitions
Key Optical Formulas
- Refractive Index (Prism Formula): n = sin((A + Dₘ) / 2) / sin(A / 2)
- Displacement Formula: d = (l sin(i – r)) / cos(r)
Sign Conventions and Lens Formulas
- Object Distance (u): Always positive (+)
- Image Distance (v): Real (+) / Virtual (-)
- Magnification (m): Real (-) / Virtual (+)
- Focal Length (f) & Power (P): Convex (+) / Concave (-)
- Lens Behavior:
- If v > f: Convex lens behavior
- If v < f: Concave lens behavior
- Refraction at