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As given the components are in series parallel so voltage across each of component in same as that of source voltage But current is different for all so by applying Kirchoff's law I_S^2 = I_R^2 + (I_L - I_C)^2 by the help of phasor diagram I_S = squareroot I_L^2 + (I_L - I_c)^2 And Z = squareroot R^2 + (X_L - X_c)^2 squareroot R^2 + (wL - 1/Wc)^2 Now voltage across each element is V = IR squareroot I_R^2 + (I_L - I_c)^2 times squareroot R^2 + (wL - 1/Wc)^2 \r\n Now by applying kirchoff's law in loop ABGHA I_RR - V = 0 V = I_R R 1 In loop BCFGB X_c I_c - I_R R = 0 X_cI_c = I_RR 2 in loop CDEFC X_LI_L - X_cI_c = 0 X_LI_L = X_CI_C 3 Now from 1 , 2 & 3 I_R R = X_LI_L = X_CI_C = V I_R R = wLI_L = 1/W_c I_C = V
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