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ρ = massa jenis kawat
L = panjang kawat
A = luas penampang kawat
V = volume kawat
V₁= A₁. L₁ -->L₁ = V₁ / A₁
A₁ = 1/4 πd²
A₂ = 1/4 π(d/4)²
= 1/4 π 1/16 d²
= 1/16 A₁
V₂ = V₁
L₂ = V₂ / A₂
= V₁ / (1/64 π d²)
= 64 V₁ / πd²
= 64. V₁ / πd² . (1/4. / 1/4)
= 16 V₁ / 1/4 πd²
= 16 V₁ / A₁
R₁ : R₂ = ρ. L₁/A₁ : ρ. L₂/A₂
= L₁/A₁ : L₂/A₂
= V₁/ A₁² : 16 V₁/A₁ 1/16 A₁
= V₁/A₁² : 16² V₁/A₁²
R₁ : R₂ = 1 : 16²
R₂ = 16² R₁
= 256 R₁
= 256 R