In the above question, the capacitive reactance in the circuit is

Options

A. `100 Omega`
B. `25 Omega`
C. `sqrt(125xx75)Omega`
D. `400 Omega`

Answer

C

Explanation

Impadance `Z=(E_V)/(I_V) or Z = (200)/(2) = 100 Omega`
But ` Z^(2) = R^(2)+((1)/(omega c))^(2)`
or ` ((I)/(omega C))^(2) Z^(2) -R^(2) = (100)^(2) -(25)^(2) = 125 xx 75`
or, `X_(C) =(1)/(omega C) = sqrt(125 xx 75 ) Omega`.