scalar and vector fields - wordpress.com · 2/1/2015 · scalar and vector fields •a scalar...
TRANSCRIPT
Scalar and Vector Fields
• A scalar field is a function that gives us a single value of some variable for every point in space.
• Examples: voltage, current, energy, temperature
• A vector is a quantity which has both a magnitude and a direction in space.
• Examples: velocity, momentum, acceleration and force
Example of a Scalar Field
4
Vector FieldsVector (magnitude, direction) at every point in
space
Example: Velocity vector field - jet stream
Vector Fields Explained
Examples of Vector Fields
Examples of Vector Fields
Examples of Vector Fields
VECTOR REPRESENTATION
3 PRIMARY COORDINATE SYSTEMS:
• RECTANGULAR
• CYLINDRICAL
• SPHERICAL
Choice is based on symmetry of problem
Examples:
Sheets - RECTANGULAR
Wires/Cables - CYLINDRICAL
Spheres - SPHERICAL
SEE YOU NEXT WEEK
Optional Homework:
Solve at least 3 vector problems byyourself.