- Establish the relationship between resistance, length, and diameter using a constant of proportionality. - Use the given initial conditions to find the constant $k$. - Use the constant $k$ and the new dimensions to calculate the new resistance.
The electrical resistance of a wire varies directly with its length and inversely with the square of its diameter. If a wire with a length of 200 cm and a diameter of one-quarter of a centimeter has a resistance of 20 ohms, find the electrical resistance in a 500 cm wire with the same diameter
Asked in GPSC Prelims CSP 1 2018 · Topic: Conductivity (Electrical Conductivity and Resistivity: Definitions, Units, and Ohm's Law)
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