Calculate the length of wire of resistance of 10ohm and area of cross section 0.5 cm in S.I. units. The specific resistance of wire is 0.0008 ohm-cm
Answers
Answered by
6
Given :
→ Resistance of the wire (R) = 10Ω
→ Area of cross section of the wire (A) = 0.5 cm
→ Resistivity (ρ) = Specific resistance = 0.0008 Ω - cm
To find :
Length of the wire
Solution :
As we know that
★ ρ = R × A/l ★
→ ρ × l = R × A
→ l = R × A/ρ
Where,
ρ(rho) = Resistivity
R = Resistance
A = Area of cross section
l = Length of the wire
According to the question
Convert "cm" into "m"
Focus Zone : = 1 m = 100 cm
→ Area of cross section of the wire = 0.5 cm
→ A = 0.5/100 = 0.005 m
→Resistivity = Specific resistance =0.0008 Ω - cm
→ ρ = 0.0008/100 = 0.000008 Ω - m
Now,
→ l = R × A/ρ
→ l = 10 × 0.005/0.000008
→ l = 10 × 5/8 × 1000000/1000
→ l = 10 × 5/8 × 1000
→ l = 10 × 5 × 125
→ l = 50 × 125
→ l = 6250 m
•°• Length of the wire is 6250 m
________________________________
Similar questions