Problem

For the ladder network in Fig. 2.104, find I and Req.

For the ladder network in Fig. 2.104, find I and Req.

Step-by-Step Solution

Solution 1

Refer to Figure 2.104 in the text book.

In Figure 2.104, the series combination of and resistor is connected in parallel with resistor.

Calculate the equivalent resistance.

Draw the simplified circuit diagram.

Picture 4

In Figure 1, the two resistors connected in series and this series combination is in parallel with resistor.

Calculate the equivalent resistance of series-parallel combination and assign as .

Draw the simplified circuit diagram of Figure 1.

Picture 5

In the Figure 2, the resistors and are connected in series.

Calculate the total equivalent resistance, .

Therefore, the equivalent resistance, is .

Calculate the current in the circuit.

Therefore, the current in the circuit, is .

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