The resistance of a wire with a length of 80 cm and a uniform cross-sectional area of 0.025 cm² is found to be 1.50 ohms. Calculate the specific resistance of the wire in SI units.
Answer (2)
Sp ec i f i c res i s t an ce = res i s t i v i t y F ro m f or m u l a o n res i s t an ce : R = A p L p − res i s t i v i t y , L − l e n g t h , A − a re a o f cross sec t i o n p = L R ∗ A = 80 ∗ 1 0 − 2 m 1 , 5 O hm ∗ 0 , 025 ∗ 1 0 − 4 m 2 = 0 , 0003515625 O hm ∗ m
To calculate the specific resistance of a wire, we use the formula ρ = L R ⋅ A . For this wire, the specific resistance is calculated to be approximately 4.6875 × 1 0 − 6 Ω ⋅ m . This value represents how much the wire opposes the flow of electric current, given its dimensions and material properties.
;
