Figure 3: An ac circuit with two loops. 3. A two loop AC circuit. We wish to analyze the circuit shown to the left. To this end analyze the complex DC circuit shown to the right. (a) [6 points] Impedances. What is (i) ( Z_{1} ) ? (ii) ( Z_{2} ) ? (iii) ( Z_{3} ) ? Give your answer in terms of ( C, L, R ) and ( omega ). (b) [9 solutionspile.com

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Figure 3: An ac circuit with two loops. 3. A two loop AC circuit. We wish to analyze the circuit shown to the left. To this end analyze the complex DC circuit shown to the right. (a) [6 points] Impedances. What is (i)   ( Z_{1}   ) ? (ii)   ( Z_{2}   ) ? (iii)   ( Z_{3}   ) ? Give your answer in terms of   ( C, L, R   ) and   (   omega   ). (b) [9 points] (i) Apply Kirchoff's loop rule to the circuit involving   (   mathcal{E}_{0}, Z_{1}   ) and   ( Z_{2}   ). (ii) Apply Kirchoff's loop rule to the circuit involving   ( Z_{2}   ) and   ( Z_{3}   ). (iii) Apply Kirchoff's junction rule to the junction marked   ( A   ) in the figure. (c)   ( [5   ) points   ( ]   ) Determine   (   tilde{I}_{1}   ). Give your answer in terms of   (   mathcal{E}_{0}, R, L, C   ) and   (   omega   ). solutionspile.com

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