Transcribed Image Text: Find the Fourier transform specified in part (a) and then use it to answer part

Transcribed Image Text: Find the Fourier transform specified in part (a) and then use it to answer part
(b).
(a) Find the Fourier transform of
f(y, p, t)Jet sin pt t> 0,
0
‘0>1
where y (> 0) and p are constant parameters.
(b) The current 1(t) flowing through a certain system is related to the applied
voltage V(t) by the equation
Aros
I(t)=
K(t – u)V(u) du,
where
nOr
K(t) = aif (y1, Pi, T) + a2f(72, P2, T).
The function f(y, p, t) is as given in (a) and all the ai, yi (> 0) and pi are fixed
parameters. By considering the Fourier transform of I (t), find the relationship
that must hold between ai and a2 if the total net charge Q passed through
the system (over a very long time) is to be zero for an arbitrary applied
voltage.

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