A long, thin solenoid has 900 turns per meter and radius 2.50 $\mathrm{cm} .$ The current in the solenoid is increasing at a uniform rate of 60.0 $\mathrm{A} / \mathrm{s}$ . What is the magnitude of the induced electric field at a point near the center of the solenoid and (a) 0.500 $\mathrm{cm}$
from the axis of the solenoid; (b) 1.00 $\mathrm{cm}$ from the axis of the solenoid?