Notes, summaries, assignments, exams, and problems for Physics

Magnetic Fields

A magnetic field is the disturbance produced by a magnet in an area of space. It is manifested by the interactions that occur in that area with other magnets or moving electric currents.

Oersted's Experience and the Lorentz Force

Oersted's experience shows that electric charges at rest do not create magnetic fields, but if they are moving, then they do.

The Lorentz Force: If we introduce a moving charge into a magnetic field, it will experience a force given by the expression...

Similarities and Differences Between Electric and Magnetic Fields: An Analogy

• Both fields are generated by electric charges.
• Electric field strength and magnetic field strength depend inversely on the square of the distance to the point where we make the measurement.

Isaac Newton: Life and Legacy

Isaac Newton was born in 1642, the year Galileo also died. Almost all of his creative years were spent at the University of Cambridge, England, first as a student, then as a highly distinguished teacher. He never married, and his personality continues to puzzle scholars today: reserved, sometimes cryptic, and embroiled in personal quarrels. He gave his attention not only to physics and mathematics, but also to religion and alchemy.

The only thing that everybody agrees on is his brilliant talent. Three problems intrigued scientists at the time:

• The laws of motion
• The laws of planetary orbits
• The mathematics of continuously variable quantities (a field now known as differential and integral calculus)

It can be said with... Continue reading "Isaac Newton: Physics, Calculus, and the First Law of Motion" »

Surveying, Mapping, and Geodesy

Surveying

Surveying is a set of technical and scientific operations used to determine the spatial position of points to represent a plane land surface and its elements. Common units used in surveying include:

• Length: meter
• Area: square meter or hectare (10,000 m²)
• Angle: Grad

Cartography

Cartography is the science that studies the different methods and systems used to represent part or all of the Earth's surface on a plane.

Geodesy

Geodesy is the science that studies the shape and dimensions of the Earth.

Map Projections

Map projections aim to minimize distortions caused by transforming a three-dimensional surface into a two-dimensional plane. These distortions can be linear, angular, or surface-related. Different types... Continue reading "Surveying, Mapping, and Geodesy Fundamentals" »

Pressure Definition

Pressure: Indicates the relationship between an applied force and the area over which it acts. Reducing the area over which a force acts increases the pressure.

Hydrostatic Pressure

Hydrostatic pressure: It is the pressure exerted by a liquid at rest on the bottom and sides of its container due to gravity.

Atmospheric Pressure

Atmospheric Pressure: The pressure exerted by the Earth's atmosphere on all bodies within it.

Pascal's Principle

Pascal's Principle: Any pressure exerted on a confined fluid is transmitted undiminished to every portion of the fluid and the walls of its container.

Archimedes Principle

Archimedes Principle: Any body immersed in a fluid (liquid or gas) experiences an upward buoyant force equal in magnitude to... Continue reading "Fundamental Physics Definitions: Pressure, Heat, Fields" »

Understanding Barometric Pressure

Barometric pressure is the pressure exerted by the atmosphere due to its weight on the surfaces of bodies in contact with it. It is exerted equally in all directions and acts perpendicular to the surface of bodies. Torricelli conducted an experiment in the seventeenth century to prove the existence of atmospheric pressure. 1 atm = 760 mmHg.

Fundamental Gas Laws

• Constant Temperature (Boyle's Law): P₁V₁ = P₂V₂
• Constant Pressure (Charles's Law): V₁/T₁ = V₂/T₂
• Constant Volume (Gay-Lussac's Law): P₁/T₁ = P₂/T₂

Kinetic Molecular Theory of Gases

1. Gases are formed by a large number of very small particles, especially when compared with the distance between them.
2. Between particles, there is nothing but

Electrical Measurement Devices

A multimeter (often referred to as a "tester") is a versatile device used to measure various electrical quantities, including voltage (both AC and DC), current, and resistance.

Circuit Measurement Techniques

• Measuring Voltage

  To measure voltage, the multimeter is connected in parallel across the two points where you want to determine the potential difference.

• Measuring Current

  To measure current (intensity), the multimeter is connected in series, inserted directly into the circuit path where you want to know the current flow.

Understanding Polarity

When taking measurements in a live circuit, the device's pointer might move in the opposite direction or indicate negative values. This occurs if the multimeter's positive... Continue reading "Fundamentals of Electrical Measurement and Generation" »

Main Mechanisms of Space Remote Sensing

Orbital Satellites for Earth Observation

Orbital satellites are fundamental to remote sensing and are primarily of two types:

• Geostationary Orbit: Their movement is synchronized with the Earth's rotation, allowing them to always observe the same area. Due to their high altitude, they cover large regions, making them useful for studying global phenomena.
• Polar Orbit: These satellites follow a circular orbit perpendicular to the Equator. They observe different areas with each pass, and being at a lower altitude, they cover a smaller area but with significantly more detail.

Multispectral Scanning Sensors

These are among the most common remote sensing instruments. They function as a scanner, meticulously tracking... Continue reading "Remote Sensing Technologies: Earth Observation Methods" »

Level Instruments Based on Electrical Characteristics

Conductive or Resistive Meter

This instrument consists of a probe with two electrodes. When the tip of the electrodes contacts a conductive liquid, it closes an electrical circuit. An amplifier unit then switches a meter contact.

Applications: These serve as level switches for conductive liquids in containers, provided the liquids are not excessively viscous or corrosive.

Ultrasonic Level Meter

This meter uses tunable, high-frequency sound waves that propagate through the gas phase until they collide with the liquid or solid surface.

Usage:

• As an alarm level indicator: The frequency is damped when the liquid wets the sensors.
• As a continuous level indicator: The emitted signal reflects off the liquid/

What is Physics?

Physics is the science that aims at studying the properties of substances and their interactions, in order to explain the general properties of bodies and natural phenomena without changing their nature.

What is Scientific Notation?

Scientific notation is the process whereby a number can be written as the product of two factors, where the first factor is a number between 1 and 10 and the second factor is a power of base 10.

What is Power?

In physics, power is the amount of work done per unit of time.

What are Units?

Units refer to an arbitrary amount to which the value 1 is assigned.

What is Measurement?

Measurement is the basic process of science that involves comparing a selected pattern with the object whose physical magnitude is... Continue reading "Fundamental Concepts of Physics and Measurement" »

Gravitational Force

Gravitational force is the fundamental force of attraction that exists between any two objects with mass. It causes the acceleration experienced by an object in the vicinity of a planet or satellite. Due to gravity, we feel weight. If an object is on a planet and not under the influence of other forces, it will experience an acceleration directed approximately towards the center of the planet. It is also known as gravity, gravitational pull, or gravitational interaction.

Weight

Weight is a force. The force exerted on bodies due to gravity is known as body weight. The weight of a body is proportional to its mass; i.e., the higher the body's mass, the greater its weight.

Spring Tide

These are the tides that occur during the full... Continue reading "Physics Fundamentals: Understanding Forces and Tides" »