Solenoid Magnetic Field

The solenoid depicted below has a diameter, ##\Phi## = 10 cm, and initial ##\vec{B}## = 40 mT. Due to an increasing current, the ##\vec{B}## field increases at 7 ##\frac{mT}{s}##. Determine the magnitude and direction of the induced electric field at a radius of r = 9 cm (this is outside of the solenoid).