A piece of wire of resistance R is bent through 180 at mid point and two halves are twisted together. What is the resistance of wire

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18-06-2022
Physics

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A piece of wire of resistance R is bent through 180 at mid point and two halves are twisted together. What is the resistance of wire

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onyebuchinnaji onyebuchinnaji · Answer 1 · 2022-06-20T17:42:29+02:00

The resistance of the wire bent through 180 degrees at its mid point and the two halves are twisted together 0.25R.

Resistance of the wire

The resistance of a wire directly proportional to the length of the wire and inversely proportional to the area of the wires.

R = ρL/A

where;

L is length of wire
A is area of the wire

ρ is resistivity

When the piece of wire is bent through 180 degrees at its mid point and the two halves are twisted together. So, the length is halved (l/2) and the area of cross section is doubled (2A).

[tex]R =\rho \frac{\frac{1}{2} l}{2A} \\\\R = \frac{1}{4} (\frac{\rho L}{A} )\\\\R_{new} = \frac{R}{4}[/tex]

Thus, the resistance of the wire bent through 180 degrees at its mid point and the two halves are twisted together 0.25R.

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