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How Does the Resistance of a Wire Change When: Its Material is Changed to One Whose Resistivity is Three Times?

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Question

How does the resistance of a wire change when: 

its material is changed to one whose resistivity is three times?

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Solution

Resistance,  

`R=l/A`

 where l = length of  wire
            A= area of cross-section of the wire 

 When the material is changed to one whose resistivity is three times:

New resistivity, `p'=33rho` 
The new resistance,  
`R'=(rho^eta)/A` 

`R=(3rho)/A=3R`
 
Thus, the resistance will become three times the original resistance.
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Chapter 4: Electricity - Exercise 4

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Lakhmir Singh Physics [English] Class 10
Chapter 4 Electricity
Exercise 4 | Q 22.3

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