Problem 5 (15 points) (based on Problem 3.5 from Wentworth textbook) - An infinite length

line with 2.0 [A] current in the +â, direction exists at y = -3.0 [m], z = 4.0 [m]. A second

infinite length line with 3.0 [A] current in the +â, direction exists at x = 0 [m], y = 3.0 [m]

a) (2 points) Sketch the lines of current in this problem.

b) (2 points) Define Rd, which can point to any point on the first wire.

c) (2 points) Define di for the first wire. (weight, differential, direction)

d) (2 points) Define Raz, which can point to any point on the second wire.

e) (2 points) Define di for the second wire (weight, differential, direction)

f) (2 points) Define Robs if we only want to find the magnetic field at the origin.

g)

(3 points) Set up Biot-Savart's law in superposition to find the magnetic field at the

origin. Solve the integrals.