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A single-loop circuit consists of a 7.20? resistor, a 12.0 H inductor, and a 3.20µF capacitor. Initially the capacitor has a charge of 6.20µC and the current is zero. Calculate the charge on the...

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A single-loop circuit consists of a 7.20? resistor, a 12.0 H inductor, and a 3.20µF capacitor. Initially the capacitor has a charge of 6.20µC and the current is zero. Calculate the charge on the capacitor N complete cycles later for
(a) N = 5,
(b) N = 10, and
(c) N = 100.
Answered Same Day Dec 24, 2021

Solution

Robert answered on Dec 24 2021
131 Votes
Consider the given data,
Resistor, R 7.20 
Inductor, L 12.0 H
Capacitor, 6C 3.20 F 3.20 10 F   
Initial charge across the capacitor, 6inQ 6.20 C 6.20 10 C
   
Consider the expression for the charge on the capacitor when it is connected in series,
 
Rt
2L
inQ t Q e
 
 
  … (1)
Calculate the angular frequency,
2
' 1 R
LC 2L
   
     
   
...
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