The equivalent resistance of the given network.
Answer to Problem 107A
The equivalent resistance of the network is
Explanation of Solution
Given:
A network consisting of three parallel branches of resistors, connected in series with a set of two resistors in series. All the resistance values are
Formula used:
The equivalent resistance of a parallel branch of two resistances is given by,
Now, the equivalent for any two resistances in series, the equivalent resistance is given by,
Calculation:
Consider the circuit shown in Figure 1.
Here, the equivalent resistance of the parallel branches can be calculated using (1) as,
The equivalent of series resistances is calculated using (2) as,
Now, this equivalent resistance of the parallel network is in series with equivalent of series resistance, the net equivalent resistance of the network can be calculated as,
Conclusion:
Therefore, equivalent resistance of the network is
Chapter 24 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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