Problem 37P

Suppose

(The theta function is defined in Prob. 1.46b). Show that these fields satisfy all of Maxwell’s equations, and determine ρ and J. Describe the physical situation that gives rise to these fields.

Reference: Prob. 1.46b.

(b) Let θ(x) be the step function:

Show that dθ/dx = δ(x).

Solution 37P

Step 1 of 3:

In this question, we need to show that given electric fields satisfy all Maxwell’s equations and also determine (charge density ) and current density and also describe the physical situations that give rise to the given electrical field

In part b, we need to show for a given condition

Data given

Part a: