A long solenoid has a diameter of 15.3 cm. When a current iexists in its windings, a uniform magnetic field of magnitude B =32.8 mT is produced in its interior. By decreasing i, the field iscaused to decrease at the rate of 5.15 mT/s. Calculate themagnitude of the induced electric field (a) 2.99 cm and (b) 11.7 cmfrom the axis of the solenoid.