Increasing electric potential and electric field

[mcastillo356]

Homework Statement

Let's suppose an increasing electric potential along the positive Z axis, such that the XY plane is at $V=0$. If the potential increases by 15 V every centimeter, calculate the module and direction of the electric field. Draw the coordinate system and vector representing the electric field

Relevant Equations

$\Delta{V}=-E\Delta{x}$

Hello everybody!
I want to check out if I've solved correctly:
$\Delta{V}=-E\Delta{x}$
$\dfrac{\Delta{V}}{\Delta{x}}=-E$
$\dfrac{15\;V}{10^{-2}\;m}=-E$
$1,5\times{10^3}\;N/C=-E$
$\vec{E}$ direction it's oriented into the XY plane
Thanks!

 

[TSny]

Looks good. But, would it be more appropriate to write $\Delta V = -E \Delta z$ rather than $\Delta V = -E \Delta x$?

 

[mcastillo356]

Yes!. It's the direction of the E vector. Thanks a lot!