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A wire of length l and cross sectional area a is stretched

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The resistance of wire having length ( l ) and area of cross -section ( A ) is given by-. R = ρ l A . Now, on stretching a wire , ( a ) volume of wire remains constant. (b) length of wire increases. (c) Area of cross > section decreases.

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Consider a uniform, straight section of wire of length L and cross section A and with current I. Y&F fig. 25.7 E J r r = ρ Multiply by length L I R I A L L A I E L V J L = = = ρ = ρ = ρ r r We define resistance, R as And we have for ohmic materials Ohm's Law: V = I R A L R = ρ Resistance increases with bigger L and decreases with bigger.

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We can now substitute our acquired cross - sectional area value from Eq. (1) into this relationship and calculate the diameter of the copper wire to arrive at a diameter of 0.009062 meters. d =. d = (8.212395*10-5)0.5. d = 0.009062 m. Now that we have the solution values, we will convert them and express our final answer using the standard units.

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