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Kirchoff's Voltage Law (closed loops)

         

The above circuit consists of resistors and a voltage source. If voltage source is given as \( V = 16 \text{ V} \) and the resistances are given as \( R_1 = 2 \Omega \) and \( R_2 = 4 \Omega,\) what is the current passing through the resistor \( R_1?\)

Consider the circuit shown in the figure above. The voltages and currents are \[ v_2 = -2 \text{ V}, v_3 = 8 \text{ V}, v_6= 12 \text{ V}, i_3 = i_4 = i_5 = 4 \text{ A}. \] Determine the values of the voltage across the circuit element \( E. \)

The above circuit consists of resistors and voltage sources. The voltages are given as \( V_1 = 32 \text{ V} \) and \( V_2 = 16 \text{ V}, \) and the resistances are given as \( R_1 = 2 \Omega, R_2 = 4 \Omega \) and \( R_3 = 6 \Omega. \) What is the voltage across the resistor \( R_3?\)

In the above circuit, the voltage source gives \( V = 7 \text{ V}. \) When the resistance is given by \( R = 2 \Omega, \) what is the voltage \(V_R\) across the resistor?

The above circuit consists of resistors and voltage sources. The voltage sources are given as \( V_1 = 90 \text{ V} \) and \( V_2 = 18 \text{ V}, \) and the resistances are given as \( R_1 = 3 \Omega, R_2 = 6 \Omega \) and \( R_3 = 9 \Omega. \) What is the current flow through the resistor \( R_3?\)

Assume that the ground is at the node under the voltage sources.

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