An sinusoidal voltage of peak value 300 V and an argular frequency `omega` = 400 `rads^(-1) ` is applied to series L-C-R circuit , in which R = ` 3 Om

Question

An sinusoidal voltage of peak value 300 V and an argular frequency `omega` = 400 `rads^(-1) ` is applied to series L-C-R circuit , in which R = ` 3 Om

An sinusoidal voltage of peak value 300 V and an argular frequency `omega` = 400 `rads^(-1) ` is applied to series L-C-R circuit , in which R = ` 3 Omega` , L = 20 mH and C = 625 `mu`F .The peak current in the circuit is
A. `30sqrt(2)`A
B. 60 A
C. 100 A
D. `60sqrt(2)`A

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
The impedance of the circuit is
Z = `sqrt R^(2) + (underset(L)(X)- underset(C )(X))^(2)`
`underset(L)(X)= omegaL = 400 xx 20 xx 10^(-3)= 8 H`
`X_(C)` = `1omegaC = 1/400 xx 625 xx 10^(-6)` = 4F
Z = `sqrt (3)^(2) + (8 - 4)^(2)` = 5
I = `E/Z = 300/5 = 60 A`

7 views Answered 2023-02-05 15:29