A wire is cut into three equal halves and then connected in parallel. How will its 1)resistance and resistivity gets affected

Question

How will its resistance and resistivity gets affected

How will the total current and the current through each resistor change

Answer 1

The resistivity is a function that depends on the length of wire and its bilateral area. Since this remains constant the resistivity would also remain constant.

Resistance in a circuit depends on two things, 1) what is in the circuit and 2) how many paths the electricity has to take.

Since you did not mention the addition or removal of any components, the answer would depend on the number of possible paths for the electrons to flow. In series there is only 1 path but in the new parallel circuit you have 3 paths. Therefore since electrons have a shorter path to flow, the total resistance is decreased.

This solution depends on some assumptions such as: the location and number of components in the system.