Field Theory Answers

Obtain the value of the constant c for which the function u(x,t) = cosαcxsinαt is a
solution of the wave equation :
d^2u/dt^2=c^2(d^2u/dx^2)

Using Gauss’ Theorem calculate the flux of the vector field F ˆ
i ˆ
j kˆ = x + y + z r through
the surface of a cylinder of radius A and height H, which has its axis along the z-axis
and the base of the cylinder is on the xy-plane.

Show that for two scalar fields f and g:
∇.[∇f ×( f ∇g)]= 0

to measure the length of a cylinder and calculate its volume?

If V(a)=300volt, and V(a->b)=50volt. a test charge (s) was placed 6cm away from A, find the following:
1)the amount and type charge S?
2) the distance between A and B?

B--------A--------S
? 6cm

An electron with a speed of 5.00 × 10^8 cm/s enters an electric field of magnitude 1.00 × 10^3 N/C, traveling along a field line in the direction that retards its motion. (a) How far will the electron travel in the field before stopping momentarily, and (b) how much time will have elapsed? (c) If the region containing the electric field is 8.00 mm long (too short for the electron to stop within it), what fraction of the electron’s initial kinetic energy will be lost in that region

How many gallons and liters arw in Lake Superior?

estimate how many liters of water you would drink in 1 year

ld 1.0 mm apart. One particle has a mass of 1.0 x 10-5 kg and a net charge of...
Two particles are held 1.0 mm apart. One particle has a mass of 1.0 x 10-5 kg and a net charge
of + 3.2 x 10-10 C. The other particle has a mass of 2.0 x 10-5 kg and a net charge
of + 4.8 x10-10 C. If the two particles are released, what will their speeds be when they are 2.0
mm apart?

Compare a 2000 Hz light wave to a 2000 Hz sound wave. Which one has the larger freqency?