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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.

Circuit Behavior - 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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