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A cylindrical resistor has diameter d, resistivity ρ, and length L. A battery with voltage V...

A cylindrical resistor has diameter d, resistivity ρ, and length L. A battery with voltage V is connected to the resistor. Quantitatively explain (i.e. find the factor) how the resistance AND power dissipated would change given the following modifications. (Take each part on is own, not as a series of events!)

(a) Doubling the length and tripling the cross section area of the resistor.

(b) Replacing the resistor material with material that has 10 times higher resistivity.

(c) Halving the resistor’s diameter.

(d) Tripling the battery voltage and halving the length.

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