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Resistors and Ohm's Law
27. Resistors & DC Circuits / Resistors and Ohm's Law / Problem 7

Composite materials with varying compositions exhibit resistance variations along their length, allowing for the creation of customizable resistance profiles. Let's consider a wire composed of a composite material aligned in the y-direction with a radius of 1.5 mm and a resistivity expressed as ρ(y) = (2.7 × 10 -4 Ω•m ) e[-(3.5 /m)• y], where y represents the distance from the lower end of the wire. Calculate the resistance of a 30.0 cm long wire.

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