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## Homework Statement

An em wave in free space has an electric field vector

**E =**f(t-z/c

_{0})

**x**where

**x**is a unit vector in the x direction and f(t)= exp(-t

^{2}/τ

^{2})exp(j2πv

_{0}t). Describe the physical nature of this wave and determine an expression of the magnetic field vector.

## Homework Equations

Maxwells faradays law ∇XE=-μ δH/δt

3. The Attempt at a Solution [/B]

I have two things I´m not so sure about

**.**Given f(t) will the electric field now become

**E=**exp(-(t-z/c

_{0})

^{2}/τ

^{2})exp(j2πv

_{0}(t-z/c

_{0}))

**x**

If so, when I use the curl of the field (dEz/dy-dEy/dz)

**x**+(dEx/dz-dEz/dx)

**y**+(dEy/dx-dEx/dy)

**z**

I assume everything is 0 except for dEx/dz which I´m not sure because it´s multiplied by a unit vector

**y.**

when I derivate by z I then have to intergrate by on both sides of the max eq. but I get a very complex integral.

So where I did I get lost.

Thanks in advance.

P.S. Describing the physical nature of this wave? Do I need to state that the wave is linaear homogenous and Isotropic.