Question

two wires have lengths, resistances, resistivities each in the ratio 1:2. What is the ratio of the diameters?

Answer 1

R1=rho1×l1/A1

R2=rho2×l2/A2

Divide equations

R1/R2=((rho1×l1)/(rho2×l2))×(A2/A1)

1/2=(1÷4)×r2^2/r1^2

r1/r2=1/2^(1/2)

2×r1/2×r2=1/2^(1/2)

d1/d2=1/2^(1/2)

Answer 2

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