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Chapter 27: Q. 35 (page 763)

FIGURE EX27.35 is a current-versus-potential-difference graph for a material. What is the material's resistance?

Short Answer

Expert verified

The material's resistance is50Ω.

Step by step solution

01

Concept Introduction 

Material resistance is defined by the thermal resistance of insulating materials is usually described by their R-value, which indicates their resistance to heat flow. R-values less than one indicate greater insulating effectiveness. The R-value of insulation depends on its type, thickness, and density.

02

Explanation 

The current is a linear function of potential difference in the form of

I=aΔV

Where ais the slope of the graph.

From Ohm's law we know that

I=UR,

So, the slope is equal to

a=1R

From this graph, the current grows by1A

When the potential difference grows by 50Vso

a=1A50V

So, we will get

R=1a

Substitute the expression,

role="math" localid="1649067269150" R=11A50V

R=50Ω

03

Final Answer 

Hence, the material resistance is50Ω.

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