Question

The resistance of a conductor is 2Ω. What is the resistance of a wire of same material of same length and double its radius? Please answer only if you know.

Answer 1

The lengths of two wires made of same material are 2 m and 1 m.Their radii are 1 mm and 2 mm. The ratio of their specific resistances is: 

ANSWER

Given that,

Length of the wire l1=2m

Length of the wire l2=1m

Radii of the wire r1=1mm

Radii of the wire r2=2mm

We know that,

R=Aρl

Now, the specific resistances for both wires

  R1=A1ρ1l1

 R2=A2ρ2l2

As material is same of both wires

So, R∝Al

Where, A=πr2

Now, the ratio of specific resistance is

  R2R1=ρ

Explanation:

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Answer 2

Answer:

The lengths of two wires made of same material are 2 m and 1 m.Their radii are 1 mm and 2 mm. The ratio of their specific resistances is: 

ANSWER

Given that,

Length of the wire l1=2m

Length of the wire l2=1m

Radii of the wire r1=1mm

Radii of the wire r2=2mm

We know that,

R=Aρl

Now, the specific resistances for both wires

  R1=A1ρ1l1

 R2=A2ρ2l2

As material is same of both wires

So, R∝Al

Where, A=πr2

Now, the ratio of specific resistance is

  R2R1=ρ

Explanation:

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