# modelling question???

An electrical circuit comprises a resistance R=0.37ohms in series with capacitance C=0.025F(model Rdq/dt+q/C=v).Given that the transfer function model linking voltage supply to charge is given as Z=a/(1+bs).What is b(to4d.p.)

### 1 Answer

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- RogerLv 78 months ago
Starting with

R(dq/dt) + q/C = v

sRQ +Q(1/C) =V

Q(sR +1/C) = V

Q((sRC +1)/C) = V

Z = Q/V = C/(sRC +1)

since R = 0.37 ohms and C = 0.025F

Z = a/(1 +bs) where a = C = 0.025F

and b = RC = 9.25 x 10^(-3) = 0.00925 seconds

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