CBSE Class 12-science Answered
A resistance of 600 , an inductor of 0.4 H and a capacitor of 0.01 uF are connected in series to an AC source of variable frequency. Find the frequency of AC source for which current in the circuit is maximum. Also calculate the band width and quality factor for the circuit.
Asked by shivakumarshreyas24 | 01 Mar, 2020, 08:12: AM
frequency of AC source when current is maximum, ωo = 2πf = 1/ (LC)1/2
Hence ![begin mathsize 14px style f space equals space fraction numerator 1 over denominator 2 pi square root of L space C end root end fraction space equals space fraction numerator 1 over denominator 2 pi square root of 0.4 cross times 0.01 cross times 10 to the power of negative 6 end exponent end root end fraction space equals space 2516 space H z space equals space 2.516 space k H z end style](https://images.topperlearning.com/topper/tinymce/cache/9e821ad36a81c2fcfa63e36f24b8ca28.png)
![begin mathsize 14px style f space equals space fraction numerator 1 over denominator 2 pi square root of L space C end root end fraction space equals space fraction numerator 1 over denominator 2 pi square root of 0.4 cross times 0.01 cross times 10 to the power of negative 6 end exponent end root end fraction space equals space 2516 space H z space equals space 2.516 space k H z end style](https://images.topperlearning.com/topper/tinymce/cache/9e821ad36a81c2fcfa63e36f24b8ca28.png)
Bandwidth 2Δω = R/L = 600/.4 = 1500 Hz = 1.5kHz
Quality Q = ( ωo L ) / R = ( 2516 × 0.4 ) / 600 = 1.68
Answered by Thiyagarajan K | 01 Mar, 2020, 12:35: PM
Concept Videos
CBSE 12-science - Physics
Asked by basithhhabduuu | 14 Jul, 2024, 17:07: PM
CBSE 12-science - Physics
Asked by mishrigupta19319 | 08 Apr, 2024, 18:28: PM
CBSE 12-science - Physics
Asked by mishrigupta19319 | 07 Apr, 2024, 11:23: AM
CBSE 12-science - Physics
Asked by shivakumarshreyas24 | 01 Mar, 2020, 08:12: AM
CBSE 12-science - Physics
Asked by khushimassey437 | 31 May, 2019, 08:41: AM
CBSE 12-science - Physics
Asked by manasvijha | 19 Mar, 2019, 19:17: PM
CBSE 12-science - Physics
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 12-science - Physics
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 12-science - Physics
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 12-science - Physics
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM