10. In the configuration of Figure 1-11, (a) Show that the current I(t) is described by I (t) Vo sin wt VL/C I(t) =

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10. In the configuration of Figure 1–11,
(a) Show that the current I(t) is described by
I(t) =
Vo
sin wt
VL/C
where Vo
9o/C is the initial voltage on the
сараcitor.
(b) The preceding expression indicates that the
quantity L/C has the dimensions of ohms.
Prove this. /L/C _is called the characteristic
impedance of the LC circuit.
Transcribed Image Text:10. In the configuration of Figure 1–11, (a) Show that the current I(t) is described by I(t) = Vo sin wt VL/C where Vo 9o/C is the initial voltage on the сараcitor. (b) The preceding expression indicates that the quantity L/C has the dimensions of ohms. Prove this. /L/C _is called the characteristic impedance of the LC circuit.
FIGURE 1-11
Closed
LC resonant circuit. The initial charge
on the capacitor is qo-
at t= 0
I(1)
+40
40
Transcribed Image Text:FIGURE 1-11 Closed LC resonant circuit. The initial charge on the capacitor is qo- at t= 0 I(1) +40 40
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