Math, asked by arsalan30, 5 months ago

Q27. Two wires of same material having ratio of their lengths 1 : 3 and area of cross section 3 :1
Find the ratio between their resistances.
[Ans. 1:9​

Answers

Answered by umeshj
0

Step-by-step explanation:

R

2

R

1

=

A

2

ρ

1

L

2

A

1

ρ

1

L

1

=(

L

2

L

1

)(

A

1

A

2

)

Given

L

2

L

1

=

3

2

A

2

A

1

=

2

3

R

2

R

1

=

3

2

×

3

2

R

2

R

1

R

2

R

1

=

A

2

ρ

1

L

2

A

1

ρ

1

L

1

=(

L

2

L

1

)(

A

1

A

2

)

Given

L

2

L

1

=

3

2

A

2

A

1

=

2

3

R

2

R

1

=

3

2

×

3

2

R

2

R

1

=

9

4

=

9

4

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