Seven equal resistors, each of resistance 2Ω are connected with a battery of 3V in a circuit shown. If i1 is the current when the switch S is open and i2 is the current when switch S is closed, find the value of i1/i2.
1)Equivalent resistance formula
The Attempt at a Solution
If the switch is closed, it is very obvious that equivalent resistance=6/5Ω
Then, current i2=5/2 A
But the confusion occurs when we "open" the switch. My intuition says that no current should flow through ACEGHFDB. So, the required current = 3/2 A. Hence, required ratio=3:5.
But my book says that the answer is 5:6.
Please help me find out where I went wrong. Thanks.