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Solved Problems-3

Problems-3
A series-connected circuit has R = 4 Ω and L = 25 mH.
  1. Calculate the value of C that will produce a quality factor of 50.
  2. Find ω1ω2 and BW.
  3. Determine the average power dissipated at ω = ω0ω1ω2. Take Vm = 100 V.
 
Solution
Here, R = 4 Ω, L = 25 mH = 0.025 H, Q = 50, Vm = 100 Volt
 
(a)
∴ Description: 3197.png
 
∴ Description: 3206.png
 
(b)
ω1 = Description: 3212.png
 
= –80 + 8000
 
= 7920 rad/s Ans.
 
ω2 = Description: 3218.png
 
= –80 – 8000
 
= 8080 rad/s Ans.
 
(c) Average power dissipated at resonant frequency,
 
Description: 3224.png
 
Average power dissipated at half-power frequencies,
 
Description: 3236.png
 




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