# Find the Fourier transform specified in part (a) and then use it to answer part(b).(a) Find the Fourier transform off(y, p, t)Jet sin pt t> 0,0'0>1where y (> 0) and p are constant parameters.(b) The current 1(t) flowing through a certain system is related to the appliedvoltage V(t) by the equationArosI(t)=K(t - u)V(u) du,wherenOrK(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 fixedparameters. By considering the Fourier transform of I (t), find the relationshipthat must hold between ai and a2 if the total net charge Q passed throughthe system (over a very long time) is to be zero for an arbitrary appliedvoltage.

Question
Step 1

(a)

Consider the provided function.

Step 2

The provided function can be written as:

Step 3

Now

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