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Laws That Deal with Electrical Currents Are Known as Kirchhoff R1=4R _ { 1 } = 4

Question 95

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Laws that deal with electrical currents are known as Kirchhoff s Laws. When Kirchhoff s Laws are applied to the electrical network shown in the figure, where R1=4R _ { 1 } = 4 ohms, R2=2R _ { 2 } = 2 ohms, R3=4R _ { 3 } = 4 ohms, V1=26V _ { 1 } = 26 volts, V2=14V _ { 2 } = 14 volts, the currents I1,I2I _ { 1 } , I _ { 2 } and I3I _ { 3 } (in amps) are the solution of the system {I1+I2I3=04I1+2I3=264I14I2=12\left\{ \begin{array} { l } I _ { 1 } + I _ { 2 } - I _ { 3 } = 0 \\4 I _ { 1 } + 2 I _ { 3 } = 26 \\4 I _ { 1 } - 4 I _ { 2 } = 12\end{array} \right.  Laws that deal with electrical currents are known as Kirchhoff s Laws. When Kirchhoff s Laws are applied to the electrical network shown in the figure, where  R _ { 1 } = 4  ohms,  R _ { 2 } = 2  ohms,  R _ { 3 } = 4  ohms,  V _ { 1 } = 26  volts,  V _ { 2 } = 14  volts, the currents  I _ { 1 } , I _ { 2 }  and  I _ { 3 }  (in amps) are the solution of the system  \left\{ \begin{array} { l }  I _ { 1 } + I _ { 2 } - I _ { 3 } = 0 \\ 4 I _ { 1 } + 2 I _ { 3 } = 26 \\ 4 I _ { 1 } - 4 I _ { 2 } = 12 \end{array} \right.    Find the current  I _ { 3 }  . A)   6  amps B)  5 amps C)   8  amps D)   7  amps E)   4  amps Find the current I3I _ { 3 } .


A) 66 amps
B) 5 amps
C) 88 amps
D) 77 amps
E) 44 amps

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