As shown in Figure 1, a RC network is given with the input voltage Vin(t) and b) the output voltage Vout(t). (i) Derive the transfer function of the network. (ii) If R;=10KQ, C2=10UF, and R2=90kN, derive the system time response with a step input of magnitude 10. (iii) Without further use of Laplace transforms, derive the system time response for the unit impulse input and unit ramp input. i,(t) R, i:() is() R; v.0 Vin(0) Figure 1. RLC network

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Student number: 1700123
b)
As shown in Figure 1, a RC network is given with the input voltage Vin(t) and
the output voltage Vout(t).
(i)
Derive the transfer function of the network.
(ii) If R:=10kN, C2=10UF, and R2=90k2, derive the system time response
with a step input of magnitude 10.
(ii) Without further use of Laplace transforms, derive the system time
response for the unit impulse input and unit ramp input.
i,(t) R,
i:() is()
R; v.0)
Vin(t)
Figure 1. RLC network
Transcribed Image Text:b) As shown in Figure 1, a RC network is given with the input voltage Vin(t) and the output voltage Vout(t). (i) Derive the transfer function of the network. (ii) If R:=10kN, C2=10UF, and R2=90k2, derive the system time response with a step input of magnitude 10. (ii) Without further use of Laplace transforms, derive the system time response for the unit impulse input and unit ramp input. i,(t) R, i:() is() R; v.0) Vin(t) Figure 1. RLC network
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