A uniform wire of resistance `12 Omega` is cut into three pieces in the ratio 1 : 2 : 3 and the three pieces are connected to form a triangle. A cell of emf 8 V and internal resistance `1 Omega` is connected across the highest of the three resistors. Calculate the current through each part of the circuit.

Explanation

To solve the problem step by step, we will follow the outlined process:

### Step 1: Determine the resistance of each piece of wire
The total resistance of the wire is given as \( R_{total} = 12 \, \Omega \). The wire is cut into three pieces in the ratio \( 1:2:3 \).

Let the lengths of the pieces be \( x, 2x, \) and \( 3x \). The total length can be expressed as:
\[
x + 2x + 3x = 6x
...