A length of wire is cut in half and the two lengths are wrapped together side by side to make a thicker wire. Part A How does the resistance of this new combination compare to the resistance of the original wire?

The resistance of the new combination is one-fourth of the resistance of the original wire.

Explanation:

Let the original length of wire be 'L' and original area of cross section be 'A'.

Now, we know that resistance of old wire is given as:

Where,

Given:

A length of wire is cut in half and the ends are joined to make a thicker wire.

So, new length of wire is half of original length and new area is double of the original area.

So,

The value of specific resistivity depends on the material used. Since, the wire is same, the value of remains constant.

Therefore, the new resistance is given as:

Therefore, the resistance of the new combination is one-fourth of the resistance of the original wire.

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explanation: