As shown in figure, instantaneous current in branck having capacitor C will be (given `tan^(-1)(4//3)=53^(@))`

Options

A. `20sqrt(2)sin(omegat+3pi//4)`
B. `40sqrt(2)sin(omegat+pi//4)`
C. `60sqrt(2)sin(omegat-pi//4)`
D. none of above

Answer

A

Explanation

Voltage across capacitor will lag current by `90^(@)`
`thereforei_(C)=(200sqrt(2))/(10)sin(omegat+(pi)/(4)+(pi)/(2))`
`i=20sqrt(2)sin(omegat+(3pi)/(4))`