Given:

(i) Current:

$X_{L1}=2\pi fL=2\pi \times 50\times 0.05=15.71\ \Omega \\ X_{L2}=2\pi f L=2\pi \times 50\times 0.1=31.42\ \Omega $

$X_C=\dfrac{1}{2\pi fC}=\dfrac{1}{2\pi \times 50\times 50\times 10^{-6}}=63.66\ \Omega $

$\bar Z=10+j15.71+20+j31.42-j63.66\\ \ \ \ =30-j16.53=34.25\lt -28.85^{\circ}\ \Omega $

$I=\dfrac{V}{Z}=\dfrac{200}{34.25}=5.84\ A$

(ii) V1 and V2 

Let,     $\bar I=5.84\lt 0^{\circ}\ A$

$\bar Z_1=10+j15.71=18.62\lt 57.52\ \Omega …