(a) Explain how the resistance of the conductor vary if:(i) Area is halved(ii) Length is doubled(iii) Area is doubled(iv) Both area and length are doubled(b) Calculate the resistance of an aluminium wire of length 60 cm and cross-sectional area 1mm² the specific resistance of 2.6 ✖ 10⁻⁸ᘯm
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As a wire gets longer its resistance increases, and as it gets thinner its resistance also increases because its cross sectional area decreases. Doubling the length will double the resistance, but the wire also must get thinner as it is stretched, because it will contain the same amount of metal in twice the length
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The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. Resistance also depends on the material of the conductor. The resistance of a conductor, or circuit element, generally increases with increasing temperature.
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