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

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

Concept:

Consider the series RLC Circuit

The bandwidth of a series RLC network is given as:

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

f_r = \(1 \over 2 \pi × \sqrt{L× C}\) 

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