What is the current drawn from the source in the following circuit?

Options

A. 5A
B. 10A
C. `5sqrt(2) A`
D. `10sqrt(2) A`

Answer

C

Explanation

L,C and R are in parallel and `:'` currents in L and C are oppositely directed, the total current
`I = sqrt(I_(R)^(2)+(I_(C)-I_(L))^(2))`
`=Vsqrt(1/(R^2)+((1)/(X_C)-(1)/(X_L))^(2)) ( :' V = 100V)`
`100 sqrt(1/400+(1/20-1/10)^(2))`
`100 sqrt(1/400+1/400)`
`=(100sqrt2)/20 = 5sqrt(2)A`.