Find the current through the 100 Ω resistor in Figure 8-23.

Question

Accepted Answer

Step 1: Find the current through the 100 Ω resistor due to current source [latex]I_{S1}[/latex] by replacing source [latex]I_{S2}[/latex] with an open, as shown in Figure 8-24. As you can see, the entire 10 mA from the current source [latex]I_{S1}[/latex] is downward through the 100 Ω resistor.

Step 2: Find the current through the 100 Ω resistor due to source [latex]I_{S2}[/latex] by replacing source [latex]I_{S1}[/latex] with an open, as indicated in Figure 8-25. Notice that all of the 3 mA from source [latex]I_{S2}[/latex] is upward through the 100 Ω resistor.

Step 3: To get the total current through the 100 Ω resistor, subtract the smaller current from the larger because they are in opposite directions. The resulting total current is in the direction of the larger current from source [latex]I_{S1}[/latex].

[latex]I_{100 Ω(tot) } = I_{100 Ω(I_{S1}) } - I_{100 Ω(I_{S2}) }[/latex]

[latex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ = 10 \ mA - 3 \ mA = 7 \ mA[/latex]

The resulting current is downward through the resistor.

Question 8.8: Find the current through the 100 Ω resistor in Figure 8-23.

Related Answered Questions