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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.

Kirchoff's Current Law

         

The above figure shows part of a circuit. When the currents coming through \( R_1 = 6 \Omega \) and \( R_2 = 4 \Omega \) are \( I_1 = 8 \text{ A} \) and \( I_2 = 2 \text{ A}, \) respectively, what is \( I_3?\)

In the above circuit, the resistance \( R_1 \) is \( 8 \Omega \) and the other resistances \( R_2, R_3, \) and \( R_4 \) are \( 4 \Omega\) each. If \( I_1 = 21 \text{ A},\) what is the current \( I_2?\)

In the above circuit, the current source flow is \( I = 21 \text{ A}. \) When the resistances are given by \( R = 3 \Omega, \) find the current \( I_x. \)

In the above circuit, let the resistances \( R_a = 7 \Omega \) and the resistances \( R = 2 \Omega. \) The voltage of battery is unknown but the current is \( I = 18 \text{ A}. \) Find the current \( I_x \) in the above circuit.

In the above circuit, \( I_1 = 4 \text{ A}, \) \( I_2 = 8 \text{ A}, \) \( I_3 = 3 \text{ A} \) and \( I_4 = 3 \text{ A}. \) What is \( I_x? \)

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