Magnetic Field Inside a Charging Capacitor

[Plasmosis1]

Homework Statement

A 10-cm-diameter parallel-plate capacitor has a 1.0 mm spacing. The electric field between the plates is increasing at the rate 1.4×106V/m*s.
What is the magnetic field strength 2.7cm from the axis?

Homework Equations

$\oint$B*ds=$\mu$$\epsilon$dE(t)/dt*A
B=($\mu$$\epsilon$dE(t)/dt*A)/(2$\pi$r)

B=($\mu$I_d)/(2$\pi$R²)*r

The Attempt at a Solution

I tried using the first equation:
8.85E-12*4$\pi$E-7*1.4E6*$\pi$(0.05)²/(2$\pi$*0.027)=
7.2E-13T which is wrong

 

[mfb]

"A" should be the area your integral encloses, not the total area of the capacitor.