if the radius wire is doubled will the specific resistance change explain
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No, not at all.
Specific resistance is the property of material and it is independent of dimensions of that material.
To make it simple, or to give a basic idea, the specific resistance is defined in terms of length and X-section area of the material but mind it, these dimensions are fixed.
SR is defined as “resistance offered by a material (usually a wire) of 1 unit length having X-section area of 1 sq unit”.
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