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## Circuit Behavior

Any circulating flow constitutes a circuit. Learn how to model the logic boards in your computer, the flow of nutrients in your blood, or the daily fluctuations in the temperature of your house.

# Problem Solving

Consider the circuit shown in figure above. Suppose that $$i_A = 11 \text{ A},$$ $$i_B = 12 \text{ A},$$ $$V_A = 20 \text{ V}$$ and $$V_B = 80 \text{ V}.$$ Determine the sum of resistances $$R_1$$ and $$R_2.$$

Determine the value of the current $$i$$ in the circuit shown in figure above. Suppose that $$i_A= 4 \text{ A},$$ $$i_B = 1 \text{ A},$$ $$i_C = 3 \text{ A},$$ $$R_1 = 6 \ \Omega,$$ $$R_2 = 2 \ \Omega,$$ and $$R_3 = 4 \ \Omega.$$

Consider the circuit shown in the above figure. The voltages across branches are given by $$V_A = 13 \text{ V},$$ $$V_C = 13 \text{ V},$$ $$V_D = 3 \text{ V},$$ $$V_E = -6 \text{ V},$$ and $$V_F = 16 \text{ V}.$$ The currents flowing through branches are given by $$i_ A = 12 \text{ A},$$ $$i_C = 24 \text{ A},$$ $$i_D = 6 \text{ A},$$ $$i_E = -6 \text{ A},$$ and $$i_F = 6 \text{ A}.$$ Find the values of the power supplied by branch $$B.$$

Determine the current $$i$$ in the circuit shown in figure above. Suppose that $$i_A = 24 \text{ A},$$ $$R_1 = 8 \ \Omega,$$ $$R_2 = 4 \ \Omega,$$ $$R_3 = 7 \ \Omega,$$ and $$R_4 = 7 \ \Omega.$$

Determine the value of the resistance $$R$$ in the circuit shown in the figure above, given $$R_{eq} = 6 \ \Omega,$$ $$R_1 = 4 \ \Omega,$$ $$R_2 = 30 \ \Omega,$$ $$R_3 = 24 \ \Omega,$$ $$R_4 = 8 \ \Omega,$$ $$R_5 = 3 \ \Omega,$$ and $$R_6 = 1 \ \Omega.$$

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