A copper wire has diameter 0.5 mm and resistivity of \( 1.6 × 10^-8 \Omega m. \) What will be the length of this wire to make its resistance 10 \(\Omega \)? How much does the resistance change if the diameter is doubled?
Area of cross-section of the wire, A =\(\pi \) (d/2) 2
Diameter= 0.5 mm = 0.0005 m
Resistance, R = 10 \(\Omega \)
We know that
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