The figure below shows a short coil which is coaxial with a very long solenoid (you may approximate it as infinite.)

Coil: Has 120 turns of radius 1.8 cm and resistance 5.9 . It is not attached to anything.

Solenoid: Has 23100 turns/m and a radius of 1.6 cm. It receives an external current (source not shown).

http://www.webassign.net/hrw/hrw7_30-37.gif

b.) If the current supplied to the solenoid drops at a constant rate from 1.5 A to zero in in a time interval Δt = 25 ms,

What are the magnitudes of the emf and current induced in the coil during this time interval?
ε = ____ mV
Iind = ____ mA

Also, how large is the induced electric field in the coil?
Eind = ____ N/C
Does the induced electric field need to be inside the same region of space as the changing magnetic field that caused it?

c.) What is the mutual inductance of this solenoid/coil system?
M = ____ mH

d.) Suppose the external current supply were detached from the solenoid and then connected instead to the coil.

If this current were also dropped from 1.5 A to zero in 25 ms,

What would be the size of the emf induced in the solenoid?