In the given circuit, the AC source has `(omega) = 100 rad//s`. Considering the inductor and capacitor to be ideal, the correct choice(s) is (are)
.

Options

A. the current through the circuit, `I` is `0.3 A`
B. the current through the circuit, `I` is `0.3 sqrt(2) A`
C. the voltage across `1000 Omega` resistor `= 10 sqrt(2)V`
D. the voltage across `50 Omega` resistor `= 10 V`

Answer

C, D

Explanation

Phasor diagram
`R.C` circuit
`|vec(V_(R))|=|vec(V_(C))|=i_(1) R_(1)=i_(1)X_(C)`
`vec(i_(1))` leads `vec(V)` by `pi//4`
`i_(1) = (V)/(sqrt(R_(1)^(2) + X_(C )^(2))`
`R.L` circuit
`|vec(V_(R))|=|vec(V_(L))|=i_(1) R_(2) = i_(1) X_(L)`
`vec(i_(2))` lag `vec(V)` by `pi//4` , `i_(2) = (V)/(sqrt(R_(2)^(2) + X_(L)^(2)))`
`i = sqrt(1_(1)^(2) + i_(2)^(2))`