Download Problem 7.42 In response to an input signal voltage υs(t

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Transcript
Problem 7.42 In response to an input signal voltage υs (t) = 24 cos 2000π t, the
input current in the circuit of Fig. P7.42 was measured as i(t) = 6 cos(2000π t − 60◦ )
mA. Determine the equivalent input impedance Z of the circuit.
i(t)
+
υs(t) _
a
Z
b
Passive
circuit
Figure P7.42: Configuration for Problem 7.42.
Solution:
Vs = 24 V,
◦
I = 6e− j60
Z=
=
(mA).
V
I
24
× 10−3
6e− j60◦
◦
= 4e j60 kΩ
= (4 cos 60◦ + j4 sin 60◦ ) kΩ = (2 + j3.46) kΩ.
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