1. What is a field?
In physics, a field is a physical phenomena that has a value everywhere in space.
Loudness has a value everywhere around a stereo.
This means you can describe the loudness with a field.
All interactions between matter and energy occur by way of fields.

2. Fields and energy
Any field is a form of energy that is distributed through space.
A magnetic field has energy because it can exert force over distance, or do work, on another magnet.

3. Adding fields Fields of the same kind can be added or subtracted.
The field from an electromagnet can either cancel the field from a permanent magnet or add to it.

4. The inverse square law
The inverse square law states that a field decreases as the square of the distance from the source of the field increases.
While sound, light, gravity and electricity follow this trend, magnetism does not.

5. Intensity
All the sound energy you hear must pass through 1 cm2 at the opening to the ear.
The intensity—the number of watts per unit area—reaching your ear is 0.01 watts per square centimeter.
Close to the stereo, 0.01 watt of power is captured by the small opening of your ear.
Because the power spreads out, far away from the stereo the intensity drops so that the same square centimeter of your ear captures less than 0.01 watt of power

6. Light intensity and distance
At a radius of 1 meter, 8 watts of light fall on a 1- meter-square area, so the light intensity is 8 W/m2.
The intensity at 2 meters is one-fourth the intensity at 1 meter or 2 W/m2.

7. The inverse square law
Magnetism is an exception to the inverse square law because all magnets have two opposite poles, not just one.
The magnetic field decreases much faster than an inverse of the square of distance.
The north and south poles cancel each other out as you move farther from the magnet.

8. The speed of a field
The magnetic field exerts a force of one magnet on another at the speed of light.
The speed of light is 300 million m/s, so it takes only a tiny fraction of a second for the force to be exerted by one magnet on another when the distance is a few meters. vv

9. The speed of light
All interactions are carried by fields, and the fastest that any field can spread is the speed of light.
Information like your cell phone number and the number you are calling is coded in pulses of energy.
The information spreads as an electromagnetic field that expands at the speed of light.

10. Gravity The gravitational field is created by mass.
All mass creates a gravitational field.
Gravity is a relatively weak force, so it takes a planet- sized mass to create a field strong enough to exert a significant force.

11. Gravitational field of Earth
The gravitational field is a force field because it creates a force on masses at all points in space.
The force (Fw) on an imaginary mass (m) is equal to the mass multiplied by the gravitational field (g)

12. Earth and Moon Gravitational force acts in two steps.
Earth creates a gravitational field.
The Moon feels a force from the gravitational field that causes it to orbit Earth.

13. Gravitational fields
The gravitational field is a vector field because a gravitational force has a direction at all points in space.
Like the magnetic field, you can draw field lines to show the direction of the gravitational field.

14. Law of gravitation
The formula for Newton’s law of gravitation can be rearranged.
The strength of the gravitational field (g) is given by the quantity Gm2/r2.
If we know the mass and radius of a planet, we can use this quantity to calculate the strength of gravity on that planet.

15. Calculating gravitational force
The planet Mars has a mass of 6.4 × 1023 kg and a radius of 3.4 million m. Calculate the value of g on the surface of Mars.
Looking for: …the value of g in N/kg for Mars
Given: …the mass (6.4 x1023 kg) and radius 3.4 x106 m) of Mars
Relationships: Use g = Gm2 ÷ r2 and G= 6.67 x N•m2/kg2
Solution: g = (6.67 ×10−11 N•m2/kg2)(6.4 ×1023 kg)
3.4 ×106 m
= 3.7 N/kg on Mars compared to 9.8 N/kg on Earth