Question

A wire of cross-sectional area 5.00 106 m2 has a resistance of 1.75 O. What is the resistance of a wire of the same material and length as the first wire, but with a cross-sectional area of 8.75 106 m2

Answer 1

the resistance of the second wire is 1 ohm.

Step-by-step explanation:

Given;

cross sectional area of the first wire, A₁ = 5.00 x 10⁶ m²

resistance of the first wire, R₁ = 1.75 ohms

cross sectional area of the second wire, A₂ = 8.75 x 10⁶ m²

resistance of the second wire, R₂ = ?

The resistance of a wire is given as;

R ∝
`(L)/(A)`

Since the length of the two wires is constant

R₁A₁ = R₂A₂

`R_2 = (R_1A_1)/(A_2) \\\\R_2 = (1.75\ * \ 5.00* 10^6)/(8.75* 10^6) \\\\R_2 = 1 \ ohm`

Therefore, the resistance of the second wire is 1 ohm.