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karush

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$\tiny{2.5.1}$

Electrical Resistance of a Wire

The electrical resistance of a wire varies directly with the length of the wire and inversely with the square of the diameter of the wire.

If a wire 432 feet long and 4 mm in diameter has a resistance of 1.24 $\Omega$

find the length of a wire of the same material whose resistance is 1.44 $\Omega$ and whose diameter is 3 mm

y varies inversely with x $\quad y=\dfrac{k}{x}$

y varies directly with x $\quad y=kx$

OK not real sure how to set this up think we need to get the value of $k$ first

Electrical Resistance of a Wire

The electrical resistance of a wire varies directly with the length of the wire and inversely with the square of the diameter of the wire.

If a wire 432 feet long and 4 mm in diameter has a resistance of 1.24 $\Omega$

find the length of a wire of the same material whose resistance is 1.44 $\Omega$ and whose diameter is 3 mm

y varies inversely with x $\quad y=\dfrac{k}{x}$

y varies directly with x $\quad y=kx$

OK not real sure how to set this up think we need to get the value of $k$ first

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