In the given set up resistors A, B & C are of resistance 1 ohm each.
Find the current through resistor A and Potential difference across it, if the resistance of the wire is zero.
0A, 0v
The given image can be represented as below.
Since the wire parallel to resistor A has 0 resistance, all current through the battery flows through it and not through A so current through resistor A = 0 A.
We know, V=I×R
Since the value of current through the resistor A is zero, the potential difference across it is also zero. Hence V=0 V