Two wires have the same resistance and diameter. If the wires are made of silver and copper with resistivities respectively of 1.59 ✕ 10−8 Ω · m and 1.70 ✕ 10−8 Ω · m, determine the ratio of their lengths.

icon
Related questions
Question
Two wires have the same resistance and diameter. If the wires are made of silver and copper with resistivities respectively of 1.59 ✕ 10−8 Ω · m and 1.70 ✕ 10−8 Ω · m, determine the ratio of their lengths.
 
**Problem Statement:**

Two wires have the same resistance and diameter. If the wires are made of silver and copper with resistivities respectively of \(1.59 \times 10^{-8} \, \Omega \cdot \text{m}\) and \(1.70 \times 10^{-8} \, \Omega \cdot \text{m}\), determine the ratio of their lengths.

**Calculation:**

The ratio of the length of silver wire (\(L_{\text{Ag}}\)) to the length of copper wire (\(L_{\text{Cu}}\)) is given as:

\[
\frac{L_{\text{Ag}}}{L_{\text{Cu}}} = 0.93529
\]

**Note:** The provided ratio is marked incorrect, indicated by a red "X" next to the equation.
Transcribed Image Text:**Problem Statement:** Two wires have the same resistance and diameter. If the wires are made of silver and copper with resistivities respectively of \(1.59 \times 10^{-8} \, \Omega \cdot \text{m}\) and \(1.70 \times 10^{-8} \, \Omega \cdot \text{m}\), determine the ratio of their lengths. **Calculation:** The ratio of the length of silver wire (\(L_{\text{Ag}}\)) to the length of copper wire (\(L_{\text{Cu}}\)) is given as: \[ \frac{L_{\text{Ag}}}{L_{\text{Cu}}} = 0.93529 \] **Note:** The provided ratio is marked incorrect, indicated by a red "X" next to the equation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions