A circuit containing a `20 Omega` resistor and `0.1 mu F` capacitor in series is connected to 320 V ac supply of angular frequency `100 " rad " s^(-1)

Question

A circuit containing a `20 Omega` resistor and `0.1 mu F` capacitor in series is connected to 320 V ac supply of angular frequency `100 " rad " s^(-1)

A circuit containing a `20 Omega` resistor and `0.1 mu F` capacitor in series is connected to 320 V ac supply of angular frequency `100 " rad " s^(-1)`. The impedance of the circuit is
A. `10^(5)Omega`
B. `10^(4)Omega`
C. `10^(6)Omega`
D. `10^(10)Omega`

Monjur Alahi

4 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 - A
Here, `R = 20 Omega, C = 0.1 mu F =0.1xx10^(-6)F =10^(-7)F`
Impedance, `Z=sqrt(R%^(2)+(1)/(omega^(2)C^(2)))`
`=sqrt(20^(2)+(1)/((100)^(2)xx(10^(-7))^(2)))=sqrt(400+10^(10))~=10^(5)Omega`

4 views Answered 2023-02-05 15:29