Question

A wire of length 3 m and area of cross-section 1.7 × 10-6 m2 has a resistance 3 × 10-2 ohm.

a. What is the formula for resistivity of the wire and what is the unit of it

b. Calculate the resistivity of the wire

Please answer it's urgent​

Answer 1

Answer:

Explanation:

Given :

• Length of wire (l) = 3 m
• Area of cross - section (A) = 1.7 × 10-⁶m²
• Resistance (R) = 3 × 10-² Ω

To Find :

• a) What is the formula for resistivity of the wire and what is the unit of it
• b) Calculate the resistivity of the wire.

Solution :

★Case (a),

Formula,

⇒ R = ρl/A

Units,

⇒ R = Ω

⇒ ρ = Ωm

⇒ l = m

⇒ A = m²

★Case (b),

R = ρl/A

⇒ 3 × 10-² = ρ × 3/1.7 × 10-⁶

⇒ ρ = 5.1 × 10-⁸/3

⇒ ρ = 1.7 × 10-⁸ Ωm

Hence, Resistivity of the wire is 1.7 × 10-⁸ Ωm.

Answer 2

$\huge\mathcal\colorbox{lightgreen}{{\color{black}{★ANSWER★}}}$

$\huge\color{lightgreen}{\textbf{\textsf{GIVEN :-}}}$

• Length of the wire (l) = 3 m
• Area of cross-section (A) = 1.7 × 10 -6 m²
• Resistance (R) = 3 - 10 -2 Ω

$\huge\color{lightgreen}{\textbf{\textsf{TO FIND :-}}}$

• What is the formula for resistivity of the wire & what is the unit of it
• Calculate the resistivity of the wire

$\huge\color{lightgreen}{\textbf{\textsf{SOLUTION :-}}}$

Case (a),

Formula,

R = ρl/A

Units,

➙ R = Ω

➙ ρ = Ωm

➙ l = m

➙ A = m²

Case (b),

R = ρl/A

➙ 3 × 10^-2 = ρ × 3/1.7 × 10^-6

➙ ρ = 5.1 × 10^-8/3

➙ ρ = 1.7 × 10^-8 Ωm

Hence, the resistivity of the wire is 1.7 × 10^-8 Ωm.

Hope it Helps Buddy ♥️