This problem concerns the two circuits below. The voltage drops are V 1 , V 2 , E , {\displaystyle V_{1},V_{2},E,} the currents are I , J 1 , J 2 , i 1 , i 2 {\displaystyle I,J_{1},J_{2},i_{1},i_{2}} . The capacitances are C 1 = 2 F {\displaystyle C_{1}=2F} and C 2 = 3 F , {\displaystyle C_{2}=3F,} the inductance is L = 4 H . {\displaystyle L=4H.}
(a) In the left circuit assume that V 1 , V 2 {\displaystyle V_{1},V_{2}} and I {\displaystyle I} are some given numbers. Use the loop current method to solve for i 1 , i 2 , E {\displaystyle i_{1},i_{2},E} in terms of V 1 , V 2 , I . {\displaystyle V_{1},V_{2},I.}
the currents are 
. The capacitances are 
and 
the inductance is 
and 
are some given numbers. Use the loop current method to solve for 
in terms of 
