The effective resistance in between the points A and b in the circuit given below is
Answers
When the current is flowing from A to B it first passes through the 14 ohm resistor. The current then divides into two path ways the first one through the 9 ohm resistor and the other through the setup of 10 and 8 ohm resistors. Hence 10 and 8 ohm are in series so their effective resistance is 18 ohm which is in parallel connection to the 9 ohm resistor. On calculating it's effective resistance it gives 6 ohm.
After this the current flows through two different ways of 48 ohm and 6 ohm resistor. The current through 6 ohm further divides into two ways that is through 20 ohm and the setup of 15 and 5 ohm resistors.
We now will calculate the effective resistance of the series connection of 15 and 5 ohm which is 20 ohm. Then that of the parallel connection of 20 ohm and the calculated 20 ohm which is 10 ohm.
Now this calculated 10 ohm is in series with the given 6 ohm thus forming a resistance of 16 ohm which is parallel to the 48 ohm resistor. Their effective resistance is calculated to be 12 ohm.
Therefore calculating Total effective resistance of the circuit, 14 ohm, calculated 6 ohm and calculated 12 ohm resistors are in series so it is equal to 32 ohm.
Hence the answer is option 2.