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Chapter 26: Q72P (page 770)

A steel trolley-car rail has a cross-sectional area of56.0cm2. What is the resistance of 10.0 kmof rail? The resistivity of the steel is3.00脳10-7惟尘.

Short Answer

Expert verified

The resistance of 10km rail is 0.536惟.

Step by step solution

01

The given data

a) Cross-sectional area,A=56.0脳10-4m2

b) Resistivity,蚁=3.00脳10-7惟.m

c) The length of the rail,L=10.0脳103m

02

Understanding the concept of the resistance

If a steel trolley car rail moves with its speed having a particular cross-section area, we can find the resistance of that rail by considering the formula for resistance R= 蚁L/A, where, is the resistivity of the steel and L is the distance traveled by rail and A is its cross-sectional area.

Formulae:

The resistance value of a material, R=蚁LA (i)

03

Calculation of the resistance

Using the given data in equation (i), we can get the value of the resistance of the rail as follows:

R=3.00脳10710脳10356.0脳10-4=0.536惟

Hence, the value of the resistance is 0.536惟.

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