Two coils C1 and C2 are placed close to each other. The magnetic flux ϕ2 linked with the coil C2 varies with the current I1 flowing in coil C1, as shown in the figure. Find
(i) the mutual inductance of the arrangement, and
(ii) the rate of change of current (‌

dI1

dt

) that will induce an emf of 100V in coil C2.