Respuesta :
The length of the wire is 447.2m and its radius is 8.43 * 10^(-4)m.
side length of cube (l) = 10cm = 0.1m
- A substance can impede the flow of electricity through it because of a physical feature called resistance. Resistance is influenced by a material's physical properties, chemical makeup, and temperature.
- resistance of wire (R) = 20Ω
- A material's electrical resistivity, which gauges how effectively it resists electric current, is one of its essential properties. A substance that readily permits electric current has low resistance.
- resistivity of wire (ρ) = 10^(-7)Ωm
- Suppose the volume of the cube is V, the volume of the wire is V' ", the length of the wire is L, the area of cross-section of the wire is A, and the radius of the wire is r.
- volume of cube = volume of wire
- V = V'
- l^3 = A*L
- (0.1)^3 = A*L
- A*L = 10^(-3) -equation(1)
- For wire,
- R = ρ*L/A
- 20 = 10^(-7) L/A
- A = 10^(-7) L/20 -equation(2)
- Using equations (1) and (2):
- (10^(-7) L/20)*L = 10^(-3)
- Upon solving, we get L = 200√5m = 447.2m
- Substituting this value of L in equation (1),
- A * 447.2 = 10^(-3)
- πr² * 447.2 = 10^(-3)
- Upon solving, we get r = 8.43 * 10^(-4)m
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