'. At the centre of this
coil, we place a smaller coil of 'N ' turns and diameter 'b' (where b < a).
If the current in the solenoid increases linearly with time, what is the induced
emf appearing in the smaller coil. Plot graph showing nature of variation in
emf, if current varies as a function of 
Answer:
As per the data given in
the question, magnetic field due to current in solenoid S, B = 
Magnetic
flux linked with the smaller coil due to this field is
= NBA, where A = area of
smaller coil = 
emf induced in the smaller
coil,
As
current 
varies as a function of 
, therefore,
?....(i)
Negative
sign indicates that emf induced opposes the main current in the long solenoid.
From
(i), we find that
Hence,
the variation of induced emf 
with
time t is represented by a straight line graph as shown in Fig. 4(EP).22.
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