a. Determine the current I1 for the network of Fig. 6.39 using the ratio rule. b. Determine the current I3 for the network of Fig. 6.39 using the ratio rule. c. Determine the current Is using Kirchhoff’s current law.

Question

a. Determine the current [latex]I_1[/latex] for the network of Fig. 6.39 using the ratio rule.
b. Determine the current [latex]I_3[/latex] for the network of Fig. 6.39 using the ratio rule.
c. Determine the current [latex]I_s[/latex] using Kirchhoff’s current law.

Accepted Answer

a. Applying the ratio rule:

[latex]\frac{I_1}{I_2}=\frac{R_2}{R_1}\[0.5cm] \frac{I_1}{2mA}=\frac{3\Omega }{6\Omega }\[0.5cm] I_1=\frac{1}{2}(2mA)=1mA [/latex]

b. Applying the ratio rule:

[latex]\frac{I_2}{I_3}=\frac{R_3}{R_2}\[0.5cm] \frac{2mA}{I_3}=\frac{1\Omega }{3\Omega }\[0.5cm] I_3=3(2mA)=6mA [/latex]

c. Applying Kirchhoff’s current law:

[latex]\sum{I_i}=\sum{I_o}\[0.5cm] I_s=I_1+I_2+I_3\[0.5cm] =1mA+2mA+6mA\[0.5cm] =9mA [/latex]

Question 6.21: a. Determine the current I1 for the network of Fig. 6.39 usi...

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