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 passes through 14 ohm resistor then divides into to ways first through the 9 ohm resistor and the other through the 10 and 8 ohm resistors. Thus 10 and 8 ohm resistors are in series while the setup of 10 and 8 ohm resistors is parallel with the resistor 9 ohm . Therefore when we calculate the effective resistance here is 6 ohm which in turn is in series connection with the 14 ohm resistor.
Next the current divides into two ways first through the 48 ohm resistor and other through the 6 ohm resistor.
The resistor of 20 ohm is connected in parralel to the setup of 15 and 5 ohm resistors. As we calculate we get the effective resistance of this part to be 10 ohm which in turn is connected in series with 6 ohm resistor. The 48 ohm resistor is now parallel to the 16 ohm calculated effective resistance and their resulting effective resistance is equal to 12 ohm.
Lastly the 14 ohm resistor, the calculated resistance of 6ohm and the calculated resistance of 12 ohm resistance are in series. Hence the total effective resistance is equal to 32 ohm