A ductile metal wire has resistance R. What will be the resistance of this wire in terms of R if it is stretched to three times its original length, assuming that the density and resistivity of the material do not change when the wire is stretched? (Hint: The amount of metal does not change, so stretching out the wire will affect its cross-sectional area.)
Added by Jaime F.
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The resistance of a wire is given by the formula: $R = \rho \frac{L}{A}$, where $R$ is the resistance, $\rho$ is the resistivity, $L$ is the length, and $A$ is the cross-sectional area of the wire. Show more…
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A ductile metal wire has resistance $R$. What will be the resistance of this wire in terms of $R$ if it is stretched to three times its original length, assuming that the density and resistivity of the material do not change when the wire is stretched? ($Hint:$ The amount of metal does not change, so stretching out the wire will affect its cross-sectional area.)
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A ductile metal wire has resistance $R$. What will be the resistance of this wire in terms of $R$ if it is stretched to three times its original length, assuming that the density and resistivity of the material do not change when the wire is stretched? (Hint: The amount of metal does not change, so stretching out the wire will affect its cross-sectional area.)
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