Charge & Coulombs Law Flashcards
1
Q
How do you calculate the dot product of two vectors?
A
Times the magnitudes of the two vectors together and multiply by cos(alpha), where alpha is the angle between the two vectors.
2
Q
What does the vector/cross product of two vectors produce?
A
A vector which is perpendicular to both of the said vectors.
3
Q
What are the 3 equations for cylindrical coordinates?
A
x = ρ*cos(φ) y = ρ*sin(φ) z = z
4
Q
How do you work out the area of a curved surface in cylindrical coordinates?
A
Double integral with respect to Rdφdz in the limits between L and zero and 2π and zero. Equals 2πRL.
5
Q
How do you work out the volume of a box on cylindrical coordinates?
A
Triple integral with respect to ρdρdφdz in the limits between L and zero, 2π and zero and R and zero. Equals πR^2L.
