Question

a series connected circuit has R=5ohms and L=20mH calculate the value of C that will produce a quality fator of 50

Answer 1

Explanation:

ANSWER

Given,

R=10kΩ

L=20mH

C=5μF

V=10sinωt

In LCR circuit,

Band width of the signal is,

Band Width, BW=

Q

f

r

. . . . .(1)

resonant frequency, f

r

=

2π

LC

1

f

r

=

2×3.14

20×10

−3

×5×10

−6

1

f

r

=0.50KHz

Quality factor, Q=

R

1

C

L

Q=

10×10

3

1

5×10

−6

20×10

−3

Q=0.632×10

−2

From equation (1)

BW=

0.632×10

−2

0.50

Hz

BW=80KHz