Question
Find the equivalent resistance of the circuit given across ab.
Solution
The circuit given may be redrawn as follows:
In the left block, the resistance 5 ohm and 10 ohm is in series and the 25 ohm resistance is connected parallely to the series combination.
Therefore, the equivalent resistance is,
Considering the right block,
We have 5 ohm and 5 ohm in series combination and 20 ohm is connected in parallel to the series combination.
Therefore, the equivalent resistance is, \
The circuit now reduces as two resistors in series.
Thus, effective resistance is given by,
R= 9.4 + 6.7
= 16.1 Ω
In the left block, the resistance 5 ohm and 10 ohm is in series and the 25 ohm resistance is connected parallely to the series combination.
Therefore, the equivalent resistance is,
Considering the right block,
We have 5 ohm and 5 ohm in series combination and 20 ohm is connected in parallel to the series combination.
Therefore, the equivalent resistance is, \
The circuit now reduces as two resistors in series.
Thus, effective resistance is given by,
R= 9.4 + 6.7
= 16.1 Ω
