Question

the resistivity of a wire is rho its volume is 1 metre cube and its resistance is 9 ohm then its length will be​

Answer 1

Answer:

3/rho

Explanation:

R=rho×length/area

multiple and divide by length

l^2=R×volume/rho

Answer 2

Given

• Resistivity of a wore = ρ
• Volume = 1 m³
• Resistance = 9Ω

To Find

• Length of the conductor

Solution

● V = A × l

● R = ρ l/A

✭ Area of the conductor :

→ V = A × l

→ 1 = A × l

→ A= 1/l

━━━━━━━━━━━━━━━━━━

✭ Length of the conductor :

→ R = ρ l/A

→ 9 = ρ × l/(1/l)

→ 9 = ρ × l × l/1

→ 9 = ρ × l²

→ 9/ρ = l²

→ l = √{9/ρ}