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## Homework Statement

A vector field is pointed along the z-axis,

v → = a/(x^2 + y^2)

**z**.

(a) Find the flux of the vector field

through a rectangle in the xy-plane between a < x < b and

c < y < d .

(b) Do the same through a rectangle in the

yz-plane between a < z < b and c < y < d . (Leave your

answer as an integral.)

## Homework Equations

Φ =

**E**⋅

**A**

E=

E

**F**/q

## The Attempt at a Solution

The problem looks similar to this (I used an image of a similar example):

This example here had flux E0⋅A = E0ab

So for this problem, I tried doing the same thing but first finding electric field of vector

**v**:

**E**=

**F**/q = a/(x^2 + y^2)

**z**/ q = aq / (x^2 + y^2)

**z**

And then plugging into formula for Φ:

Φ =

**E**⋅

**A**= aq / (x^2 + y^2)

**z**⋅ xy

I know I messed up somewhere, especially because the question asks to have an integral for an answer but I'm not sure which formula to use or how to use it.