Please help with this one? I don\'t get it. Please be detailed, easy to follow,

Question

Please help with this one? I don't get it. Please be detailed, easy to follow, and show the equation you used. Thank you!

A copper wire of length L and cross-sectional diameter D in Latoya's lab kept overheat- ing to the point where the wire would break due to the electric current flowing through it. To prevent this from happening what did she do? A. Replaced it with another copper wire with length Land diameter 2D B. Replaced it with another copper wire with length 2Land diameter D C. Replaced it with another copper wire with length Land diameter D D. Replaced it with another copper wire with length 4Land diameter 2D

Explanation / Answer

Here ,

as the heating in the wire must be lower to stop it from breaking

for lower heating in the wire for same current

resistance of wire must be decreased

resistance = p * L/A

for changing the length to L and diameter to 2D
resistance will be 1/4 times

as resistance only decreases in this case

the correct option is A)

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