Lecture 5: Synchrotron Radiation

Question 1

What is a spherical cap?

Answer 1

A portion of a sphere cut off by a plane.

Question 2

What is the equation for the surface area of a spherical cap?

Answer 2

S = surface area
R = sphere radius
h = cap height

Question 3

What is the equation for the circumference of a spherical cap?

Answer 3

C = circumference
a = cap radius
R = sphere radius

Question 4

What is the equation for the electric flux through a surface area?

Answer 4

Φ = flux
E = electric field
A = surface area

Question 5

For the following accelerated particle, the flux entering the _____ cap exceeds the flux exiting the ______ cap.

Answer 5

Inner
Outer

Question 6

What is the equation for the transverse flux of an accelerated particle?

Answer 6

Φ_t = transverse flux
E_t = transverse electric field
R = sphere radius
c = speed of light
∆t = time

Question 7

What is the equation for the transverse electric field of an accelerated particle?

Answer 7

E_t = transverse electric field
q = charge
a = cap radius
ε_0 = permittivity of free space
R = sphere radius
c = speed of light

Question 8

When is a transverse field smallest?

Answer 8

When theta is small.