An engineer wishes to replace a 2.00 m wire with a 35.0 cm wire and use a 11.0 V supply instead of 34.0 V supply. In order to ensure the same resistive power from the new shorter wire operating with less voltage, what fractional change in a) resistivty, b) or radius would be necessary?    I know the answers for part a) is 0.598 and part b) is 1.29 but how would I get that? Please help!!

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Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.