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Kirchoff's Current Law (conservation at nodes)

         

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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