Problem

Using Thévenin’s theorem, find IA in the circuit in Fig. P5.37.Figure P5.37

Using Thévenin’s theorem, find IA in the circuit in Fig. P5.37.

Figure P5.37

Step-by-Step Solution

Solution 1

Thevenin voltage:

To determine the Thevenin equivalent, break the network at the voltage source as shown in Fig. 2.

By analyzing current sources in Fig. 2 we get,

By using KVL,

Thevenin resistance:

By replacing current source with open circuit, find the Thevenin equivalent resistance as shown in Fig. 3,

All resistors are in series and their combination is a resistor (Ignore resistor since it is not connected), thus

Now Thevenin equivalent circuit consisting of and is connected to the 40-V source as shown in Fig. 4.

Using KVL in Fig. 4,

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