Kirchoff's Voltage Law (closed loops)

         

The above circuit consists of resistors and a voltage source. If voltage source is given as V=16 V V = 16 \text{ V} and the resistances are given as R1=2Ω R_1 = 2 \Omega and R2=4Ω, R_2 = 4 \Omega, what is the current passing through the resistor R1? R_1?

Consider the circuit shown in the figure above. The voltages and currents are v2=2 V,v3=8 V,v6=12 V,i3=i4=i5=4 A. 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. E.

The above circuit consists of resistors and voltage sources. The voltages are given as V1=32 V V_1 = 32 \text{ V} and V2=16 V, V_2 = 16 \text{ V}, and the resistances are given as R1=2Ω,R2=4Ω R_1 = 2 \Omega, R_2 = 4 \Omega and R3=6Ω. R_3 = 6 \Omega. What is the voltage across the resistor R3? R_3?

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

The above circuit consists of resistors and voltage sources. The voltage sources are given as V1=90 V V_1 = 90 \text{ V} and V2=18 V, V_2 = 18 \text{ V}, and the resistances are given as R1=3Ω,R2=6Ω R_1 = 3 \Omega, R_2 = 6 \Omega and R3=9Ω. R_3 = 9 \Omega. What is the current flow through the resistor R3? R_3?

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

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