Question #285919

A copper wire having length L and diameter d has risistance R. What will the resistance be of a copper wire with length 2L and diameter 2d?


1
Expert's answer
2022-01-10T09:17:10-0500

Solution.

R=ρlS;R=\rho\dfrac{l}{S};

l1=2l;l_1=2l;

d1=2d;d_1=2d;

S=πd24;S=\pi \dfrac{d^2}{4};

S1=π4d24=πd2=4S;S_1=\pi\dfrac{4d^2}{4}=\pi d^2=4S;

R1=ρ2l4S=ρl2S=R2=12R;R_1=\rho\dfrac{2l}{4S}=\rho\dfrac{l}{2S}=\dfrac{R}{2}=\dfrac{1}{2}R;


Answer:12R.\dfrac{1}{2}R.



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