In the given circuit the AC source has ω = 100 rad s - 1 . Considering the inductor and capacitor to be ideal, what will be the current I flowing through the circuit?

Step-by-step solution

Z C = 1 ω C 2 + R 2 = 1 100 × 100 × 10 - 6 2 + 100 2 = 100 2 + 100 2 = 100 2   Ω Z L = ( ω L ) 2 + R 2 = ( 100 × 0 . 5 ) 2 + 50 2 = 50 2   Ω i L = 200 Z L = 200 50 2 = 4 2 = 2 2   A i C = 200 Z C = 200 100 2 = 2   A cos ϕ 1 = 100 100 2 = 1 2 ,   ϕ 1 = 45 ° cos ϕ 2 = 50 50 2 = 1 2 ,   ϕ 2 = 45 ° I = I C 2 + I L 2 ;    I = 8 + 2 ;    I = 10 = 3 . 16   A This question is bonus as the correct answer w