In a series R-L-C circuit, if R, L and C are doubled, then band width of the circuit will

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KVS TGT WET (Work Experience Teacher) 8 Jan 2017 Official Paper
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  1. remain same.
  2. be doubled.
  3. be halved.
  4. be 8 times the original bandwidth.

Answer (Detailed Solution Below)

Option 1 : remain same.
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Detailed Solution

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 The correct answer is option 1):(remain same.)

Concept:

Consider the series RLC Circuit

F1 P.Y 7.5.20 Pallavi D2

The bandwidth of a series RLC network is given as:

\({\rm{BW}} = \frac{{{{\rm{f}}_{\rm{r}}}}}{{\rm{Q}}}\)

fr = \(1 \over 2 \pi × \sqrt{L× C}\) 

Q = \(\frac{ 2 \pi× f × L}{R}\)

BW =  \(R \over L\) 

Calculation:

Given

when

R1 = 2 R

L1 = 2 L

BW1 =  \(R_1 \over L_1\)

\(2 \times R \over 2\times L\)

\(R\over L\) 

In a series R-L-C circuit, if R, L and C are doubled, then band width of the circuit will same

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