The 1.5 ohm wire consists of seven wires, the ends of which are soldered together. What is the resistance of each core?

Given:

R1 = 1.5 Ohm – total resistance of all wires;

n = 7 pieces – the number of wires.

It is required to determine R (Ohm) – the electrical resistance of one wire.

By the statement of the problem, the ends of the wires are soldered together. This means that the wires are connected in parallel. Then, the resistance of each wire is found by the formula:

1 / R1 = 1 / R + 1 / R + 1 / R + 1 / R + 1 / R + 1 / R + 1 / R = n / R;

R1 = R / n, from here we find that:

R = R1 * n = 1.5 * 7 = 3 ohms.

Answer: The resistance of each wire is 3 ohms.