How to solve this question **Problem Statement:**How long, $ L $, is a tungsten wire if it has a diameter of $ 0.173 \times 10^{-3} $ m and a resistance of $ 2.77 \, \text{k}\Omega $? The resistivity of tungsten is $ 5.62 \times 10^{-8} \, \Omega \cdot \text{m} $.**Equation to Solve:**\[ L = \, \text{(to be completed by the user)} \]**Units of Measurement:**- $ L $: Length in meters (m)**Additional Information:**This problem is typically solved using the formula for the resistance of a wire:\[ R = \rho \frac{L}{A} \]Where:- $ R $ is the resistance,- $ \rho $ is the resistivity,- $ L $ is the length,- $ A $ is the cross-sectional area of the wire.Use the formula to find the wire's length by rearranging it to solve for $ L $. Substitute known values once the cross-sectional area is calculated using the diameter of the wire.

Given Data:- The diameter of the tungsten wire is d = 0.173 x 10-3 m. The resistance of the…

Answered: How long Lis a tungsten wire if it has…

How long Lis a tungsten wire if it has a diameter of 0.173 x 10-3 m and a resistance of 2.77 k2? The resistivity L = m of tungsten is 5.62 x 10-8 2-m.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

How to solve this question

**Problem Statement:**

How long, $ L $, is a tungsten wire if it has a diameter of $ 0.173 \times 10^{-3} $ m and a resistance of $ 2.77 \, \text{k}\Omega $? The resistivity of tungsten is $ 5.62 \times 10^{-8} \, \Omega \cdot \text{m} $.

**Equation to Solve:**

\[ L = \, \text{(to be completed by the user)} \]

**Units of Measurement:**

- $ L $: Length in meters (m)

**Additional Information:**

This problem is typically solved using the formula for the resistance of a wire:

\[ R = \rho \frac{L}{A} \]

Where:
- $ R $ is the resistance,
- $ \rho $ is the resistivity,
- $ L $ is the length,
- $ A $ is the cross-sectional area of the wire.

Use the formula to find the wire's length by rearranging it to solve for $ L $. Substitute known values once the cross-sectional area is calculated using the diameter of the wire.

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