For the circuit of Fig. 2.61, determine [latex]\nu_{x}[/latex], the voltage across current source.

Voltage across [latex]8 \Omega[/latex] resistance by Ohm's law [latex]V_{8}=2 \times 8=16 \mathrm{~V}[/latex] In the left side mesh two out of three voltages are known. So applying KVL [latex]-30+16+10 I_{1}=0[/latex] Or [latex]I_{1}=\frac{14}{10}=1.4 \mathrm{~A}[/latex] Applying KCL at left node [latex] \begin{aligned}& -2+1.4+I_{2} =0 \\ \text{Or}& \qquad I_{2}=0.6 \mathrm{~A} \end{aligned} [/latex] Applying KVL around middle mesh (clockwise) [latex]-10 \times 1.4+2 \times 0.6+4 I_{4}=0[/latex] Or [latex]I_{4} =3.2 \mathrm{~A}[/latex] Now [latex]V_{x} =4 I_{4}=4 \times 3.2=12.8 \mathrm{~V}[/latex] From the right node [latex] \begin{aligned} I_{x}=I_{4}-I_{2} & =3.2-0.6 \\ & =2.6 \mathrm{~A} \end{aligned} [/latex]

Question 2.ASP.32: For the circuit of Fig. 2.61, determine vx , the voltage acr...

Basic Electrical Engineering

For the circuit of Fig. 2.61, determine $\nu_{x}$ , the voltage across current source.

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